Rotating a Skewb 90 degrees clockwise without doing a y rotation

NewCuber000

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Is it possible to rotate a Skewb 90 degrees clockwise without doing an actual y rotation to the cube? As in, actually performing moves on the cube that will shift every move clockwise? I'm working on a project, and it would be useful to have an algorithm that does this.

Thanks!
 
The 8 corners are in two groups of 4 (which is easy to see if you take it apart). Adjacent corners are in opposite groups. Any move keeps all the corners within their own group (leaves 4 alone, twists 1 in place, and cycles the remaining 3 within a group), and hence so does any sequence of moves. But a y rotation swaps the group of all corners. So it should be impossible.
Hopefully there's no mistake here.
 
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