Here is our Millennium Falcon Gold Medal video walkthrough for Angry Birds Star Wars Cloud City level 4-35. Send the first homing over the top-left fan, into the top pig. Trigger upon impact. The send a second homing egg to clear the top-right platform.
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1. Launch the first Homing Egg into the steam vapor on the lower left side. The MF takes out everything on the left side and the two pigs and sometimes the bottom storm trooper on the right side remain.
2. Launch the second Homing Egg into the same path and activate it when it is in the middle of the two-three right side pigs. The MF clears them and also takes down all the floating platforms.
This level appears to be debris dependent because I had to use two HEs instead of a wookie and one HE and most if not all the platforms appear to need to be destroyed.