Solve for y
y=-4\left(x+5\right)^{3}+16
Solve for x
x=\frac{\sqrt[3]{32-2y}}{2}-5
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y=-4\left(x^{3}+15x^{2}+75x+125\right)+16
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+5\right)^{3}.
y=-4x^{3}-60x^{2}-300x-500+16
Use the distributive property to multiply -4 by x^{3}+15x^{2}+75x+125.
y=-4x^{3}-60x^{2}-300x-484
Add -500 and 16 to get -484.
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