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8y=x^{3}-8x-16
The equation is in standard form.
\frac{8y}{8}=\frac{x^{3}-8x-16}{8}
Divide both sides by 8.
y=\frac{x^{3}-8x-16}{8}
Dividing by 8 undoes the multiplication by 8.
y=\frac{x^{3}}{8}-x-2
Divide x^{3}-8x-16 by 8.