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-3x-y=-x^{3}
Subtract x^{3} from both sides. Anything subtracted from zero gives its negation.
-y=-x^{3}+3x
Add 3x to both sides.
-y=3x-x^{3}
The equation is in standard form.
\frac{-y}{-1}=\frac{x\left(3-x^{2}\right)}{-1}
Divide both sides by -1.
y=\frac{x\left(3-x^{2}\right)}{-1}
Dividing by -1 undoes the multiplication by -1.
y=x^{3}-3x
Divide x\left(-x^{2}+3\right) by -1.