Given the following equation, I’m guessing you want to have it in y= format so that’s what I’ll do.
4x + 6y -y^2 +5 -2x^2= 0
Now isolate y to one side
-2x^2 + 4x + 5 = y^2 -6y
Now unfortunately this is as much as you can really simplify. Am I supposed to be solving for something else?