A very difficult game, but it's a clever idea. I'm starting to think level 6 is impossible. Here's the best moves I could find: ururdldllludrrrllluull
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Ah. Yes. That move sequence looks very close, with just one green cell out of position. Your approach is basically in the right direction. Here are some hints in rot13. I think the first one you might already know.
1. nvz gb pyrne gur obggbz evtug 2k2 oybpx bs pryyf
2. nibvq oernxvat gur oybo va gjb
3. fgneg ol pyrnevat gur pryy va gur prager bs gur evtugzbfg pbyhza