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4x=2y^{2}
The equation is in standard form.
\frac{4x}{4}=\frac{2y^{2}}{4}
Divide both sides by 4.
x=\frac{2y^{2}}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y^{2}}{2}
Divide 2y^{2} by 4.