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-4x=9-y^{4}
Subtract y^{4} from both sides.
\frac{-4x}{-4}=\frac{9-y^{4}}{-4}
Divide both sides by -4.
x=\frac{9-y^{4}}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{y^{4}-9}{4}
Divide -y^{4}+9 by -4.