I've searched forum and I can't seem to find solution to my problem (or even questions related to it).
I use Illustrator CC and I run into this problem.
Note: I have used no strokes, only four separate shapes plus another one as a stroke underneath all. Now if I try to scale it down, let's say, four times the size, I get strange results. As if the shapes move around when scaled down.
Then, if I try to fix the problem by scaling down the underlying shape, it snaps way off the desired position.
I have turned off Align new objects to pixel grid.
I apologize if this question was posted earlier.