Try this one.
Iterate over the columns in reverse order, check the headers in a Select Case, and delete as needed.
Sub deleteIrrelevantColumns()
Dim currentColumn As Integer
Dim columnHeading As String
ActiveSheet.Columns("L").Delete
For currentColumn = ActiveSheet.UsedRange.Columns.Count To 1 Step -1
columnHeading = ActiveSheet.UsedRange.Cells(1, currentColumn).Value
'CHECK WHETHER TO KEEP THE COLUMN
Select Case columnHeading
Case "State", "City", "Name", "Client", "Product"
'Do nothing
Case Else
'Delete if the cell doesn't contain "Homer"
If Instr(1, _
ActiveSheet.UsedRange.Cells(1, currentColumn).Value, _
"Homer",vbBinaryCompare) = 0 Then
ActiveSheet.Columns(currentColumn).Delete
End If
End Select
Next
End Sub
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