system
Given the following post, respond as if you're commenting on Reddit:
human
[Star Wars] Yoda successfully kills Emperor Palpatine and Obi-Wan defeats (but does not kill) Darth Vader, as usual. What changes?

Title. Answers can be based on canon or Legends. Darth Vader can die on Mustafar if not rescued. 
  
In both the canon timeline and the Legends timeline, the Jedi High Council is almost entirely wiped out, the Temple under the control of the Empire, and the Jedi Order itself is an enemy of the state. Who would take control of the Empire? At this point, was it too late to do anything?
gpt
The Jedi would be persona non-grata, and the galaxy would be in chaos, but the factors leading to it state of darkness and oppression would be gone, so it would be able to eventually recover. Perhaps, after a bit a new Jedi order could emerge and rebuild.