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-y-x=-y^{5}
Subtract y^{5} from both sides. Anything subtracted from zero gives its negation.
-x=-y^{5}+y
Add y to both sides.
-x=y-y^{5}
The equation is in standard form.
\frac{-x}{-1}=\frac{y-y^{5}}{-1}
Divide both sides by -1.
x=\frac{y-y^{5}}{-1}
Dividing by -1 undoes the multiplication by -1.
x=y^{5}-y
Divide -y^{5}+y by -1.