What effect did D-Day have on the Eastern front?

by Vladith

Huge question, I know. I'm curious about how both Germany and the USSR reacted to the creation of this new front. Did the Nazis have to move hundreds of thousands of troops from Poland/Belarus back to France and Germany? How was this perceived by Soviet commanders and soldiers? What was the moral effect of the American arrival?

ForExes

/u/GTFErinyes gave an answer that tangentially touches on this here. Hopefully someone will show up here to go more in depth.

Edit: /u/Spoonfeedme also touched on this topic here