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(y+5)^2=2y^2+4y+30
We move all terms to the left:
(y+5)^2-(2y^2+4y+30)=0
We get rid of parentheses
-2y^2+(y+5)^2-4y-30=0
We add all the numbers together, and all the variables
-2y^2-4y+(y+5)^2-30=0
We move all terms containing y to the left, all other terms to the right
-2y^2-4y+(y+5)^2=30
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