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Yes, it does. thanks!
I'd use a translation table, so that you can easily change column headers if required. On Sheet 2:
Then, in A2 on Sheet 2, enter the formula
=INDEX('Sheet 1'!2:2,MATCH(VLOOKUP(A$1,$H$2:$I$7,2,FALSE),'Sheet 1'!$1:$1,0))
Change Sheet 1 to the actual name of the raw data sheet. As you can see, the VLOOKUP function in the formula refers to the translation table.
Fill or copy the formula from A2 to the right to F2, then down (or vice versa).
Here is Sheet 1 with some dummy data:
And Sheet 2 with the formula results:
I hope that'll do what you want.