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-4x+4y=-4x^{3}
Subtract 4x^{3} from both sides. Anything subtracted from zero gives its negation.
4y=-4x^{3}+4x
Add 4x to both sides.
4y=4x-4x^{3}
The equation is in standard form.
\frac{4y}{4}=\frac{4x-4x^{3}}{4}
Divide both sides by 4.
y=\frac{4x-4x^{3}}{4}
Dividing by 4 undoes the multiplication by 4.
y=x-x^{3}
Divide -4x^{3}+4x by 4.