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2x+4=y^{2}

Swap sides so that all variable terms are on the left hand side.

2x=y^{2}-4

Subtract 4 from both sides.

\frac{2x}{2}=\frac{y^{2}-4}{2}

Divide both sides by 2.

x=\frac{y^{2}-4}{2}

Dividing by 2 undoes the multiplication by 2.

x=\frac{y^{2}}{2}-2

Divide y^{2}-4 by 2.

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