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2x=6-y^{2}
Subtract y^{2} from both sides.
\frac{2x}{2}=\frac{6-y^{2}}{2}
Divide both sides by 2.
x=\frac{6-y^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{y^{2}}{2}+3
Divide 6-y^{2} by 2.