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2x=4-y^{2}
Subtract y^{2} from both sides.
\frac{2x}{2}=\frac{4-y^{2}}{2}
Divide both sides by 2.
x=\frac{4-y^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{y^{2}}{2}+2
Divide -y^{2}+4 by 2.