Newbie Alignment and subdivision question

[Fonte Boa]

With your attached files, i understood the question.

I would use another approach to reach those results, instead Face|Absolute Commands|Move.

Align edge to edge.

( a ) Select an edge in the face you want align.
( b ) Right click on Edge|Absolute Commands|Snap
( c ) Re-select the initial edge, right click to continue
( d ) Select the target edge, right click to continue.
( e ) In Snap window, check "Move object" and click "ok".

Just remember: at (b) step, you have to right click on Snap command.

I've recorded a video to show you the process.