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-x^{3}+x-a=y
Swap sides so that all variable terms are on the left hand side.
x-a=y+x^{3}
Add x^{3} to both sides.
-a=y+x^{3}-x
Subtract x from both sides.
-a=x^{3}-x+y
The equation is in standard form.
\frac{-a}{-1}=\frac{x^{3}-x+y}{-1}
Divide both sides by -1.
a=\frac{x^{3}-x+y}{-1}
Dividing by -1 undoes the multiplication by -1.
a=-\left(x^{3}-x+y\right)
Divide y+x^{3}-x by -1.