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6-x=3y^{2}
Swap sides so that all variable terms are on the left hand side.
-x=3y^{2}-6
Subtract 6 from both sides.
\frac{-x}{-1}=\frac{3y^{2}-6}{-1}
Divide both sides by -1.
x=\frac{3y^{2}-6}{-1}
Dividing by -1 undoes the multiplication by -1.
x=6-3y^{2}
Divide 3y^{2}-6 by -1.