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4x+4=y^{2}
Swap sides so that all variable terms are on the left hand side.
4x=y^{2}-4
Subtract 4 from both sides.
\frac{4x}{4}=\frac{y^{2}-4}{4}
Divide both sides by 4.
x=\frac{y^{2}-4}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y^{2}}{4}-1
Divide y^{2}-4 by 4.