Solve for y
y=\frac{4}{z+1}
z\neq -1
Solve for z
z=-1+\frac{4}{y}
y\neq 0
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\left(z+1\right)y=4
Combine all terms containing y.
\frac{\left(z+1\right)y}{z+1}=\frac{4}{z+1}
Divide both sides by z+1.
y=\frac{4}{z+1}
Dividing by z+1 undoes the multiplication by z+1.
yz=4-y
Subtract y from both sides.
\frac{yz}{y}=\frac{4-y}{y}
Divide both sides by y.
z=\frac{4-y}{y}
Dividing by y undoes the multiplication by y.
z=-1+\frac{4}{y}
Divide 4-y by y.
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