diff --git a/explorer/Explorer.tsx b/explorer/Explorer.tsx
index e3bdeda19f..427aa5d3ed 100644
--- a/explorer/Explorer.tsx
+++ b/explorer/Explorer.tsx
@@ -561,6 +561,7 @@ export class Explorer
             ...this.explorerProgram.grapherConfigOnlyGrapherProps,
             bakedGrapherURL: BAKED_GRAPHER_URL,
             dataApiUrl: DATA_API_URL,
+            adminBaseUrl: ADMIN_BASE_URL,
             hideEntityControls: this.showExplorerControls,
             manuallyProvideData: false,
         }
@@ -606,6 +607,7 @@ export class Explorer
             ...this.explorerProgram.grapherConfigOnlyGrapherProps,
             bakedGrapherURL: BAKED_GRAPHER_URL,
             dataApiUrl: DATA_API_URL,
+            adminBaseUrl: ADMIN_BASE_URL,
             hideEntityControls: this.showExplorerControls,
             manuallyProvideData: false,
         }
@@ -757,6 +759,7 @@ export class Explorer
             ...this.explorerProgram.grapherConfigOnlyGrapherProps,
             bakedGrapherURL: BAKED_GRAPHER_URL,
             dataApiUrl: DATA_API_URL,
+            adminBaseUrl: ADMIN_BASE_URL,
             hideEntityControls: this.showExplorerControls,
             manuallyProvideData: true,
         }
diff --git a/packages/@ourworldindata/grapher/src/core/Grapher.tsx b/packages/@ourworldindata/grapher/src/core/Grapher.tsx
index f285401a03..3d0564fa28 100644
--- a/packages/@ourworldindata/grapher/src/core/Grapher.tsx
+++ b/packages/@ourworldindata/grapher/src/core/Grapher.tsx
@@ -882,18 +882,10 @@ export class Grapher
     }
 
     @computed get editUrl(): string | undefined {
-        const yColumnSlugs = this.yColumnSlugs
         if (this.showAdminControls) {
-            // This is a workaround to make the edit button work for MDims. We
-            // probably want to do this in a more general way.
-            if (window._OWID_MULTI_DIM_PROPS) {
-                const varId = yColumnSlugs[0]
-
-                return `${this.adminBaseUrl ?? ""}/admin/variables/${varId}/config`
-            } else
-                return `${this.adminBaseUrl}/admin/${
-                    this.manager?.editUrl ?? `charts/${this.id}/edit`
-                }`
+            return `${this.adminBaseUrl}/admin/${
+                this.manager?.editUrl ?? `charts/${this.id}/edit`
+            }`
         }
         return undefined
     }
diff --git a/site/multiDim/MultiDimDataPageContent.tsx b/site/multiDim/MultiDimDataPageContent.tsx
index bd358531ec..5de7edbffd 100644
--- a/site/multiDim/MultiDimDataPageContent.tsx
+++ b/site/multiDim/MultiDimDataPageContent.tsx
@@ -140,7 +140,6 @@ const useVarDatapageData = (
         null
     )
     const [grapherConfigIsReady, setGrapherConfigIsReady] = useState(false)
-    const [variableId, setVariableId] = useState<number | null>(null)
 
     useEffect(() => {
         setGrapherConfigIsReady(false)
@@ -151,7 +150,6 @@ const useVarDatapageData = (
             ? yIndicatorOrIndicators[0]
             : yIndicatorOrIndicators
         if (!variableId) return
-        setVariableId(variableId)
 
         const datapageDataPromise = cachedGetVariableMetadata(variableId).then(
             (json) =>
@@ -194,7 +192,6 @@ const useVarDatapageData = (
         varDatapageData,
         varGrapherConfig: grapherConfig,
         grapherConfigIsReady,
-        variableId,
     }
 }
 
@@ -231,12 +228,8 @@ export const MultiDimDataPageContent = ({
     })
 
     const currentView = useView(currentSettings, config)
-    const {
-        varDatapageData,
-        varGrapherConfig,
-        grapherConfigIsReady,
-        variableId,
-    } = useVarDatapageData(config, currentView)
+    const { varDatapageData, varGrapherConfig, grapherConfigIsReady } =
+        useVarDatapageData(config, currentView)
 
     // This is the ACTUAL grapher instance being used, because GrapherFigureView/GrapherWithFallback are doing weird things and are not actually using the grapher instance we pass into it
     // and therefore we can not access the grapher state (e.g. tab, selection) from the grapher instance we pass into it
@@ -285,7 +278,11 @@ export const MultiDimDataPageContent = ({
         }
 
         if (!grapherConfigIsReady) return baseConfig
-        const editUrl = variableId ? `variables/${variableId}/config` : ""
+        const variables = currentView?.indicators?.["y"]
+        const editUrl =
+            variables?.length === 1
+                ? `variables/${variables[0]}/config`
+                : undefined
         return {
             ...varGrapherConfig,
             ...baseConfig,
@@ -300,7 +297,7 @@ export const MultiDimDataPageContent = ({
         grapherConfigIsReady,
         bounds,
         canonicalUrl,
-        variableId,
+        currentView?.indicators,
     ])
 
     const hasTopicTags = !!config.config.topicTags?.length