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(y^2-8)^2-2(y^2-8)+1=0
We multiply parentheses
-2y^2+(y^2-8)^2+16+1=0
We add all the numbers together, and all the variables
-2y^2+(y^2-8)^2+17=0
We move all terms containing y to the left, all other terms to the right
-2y^2+(y^2-8)^2=-17
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