Solve for x
x=\frac{yz+1}{y^{3}}
y\neq 0
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xy^{3}-1=zy
Swap sides so that all variable terms are on the left hand side.
xy^{3}=zy+1
Add 1 to both sides.
y^{3}x=yz+1
The equation is in standard form.
\frac{y^{3}x}{y^{3}}=\frac{yz+1}{y^{3}}
Divide both sides by y^{3}.
x=\frac{yz+1}{y^{3}}
Dividing by y^{3} undoes the multiplication by y^{3}.
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