Solve for y
y=-\left(z+1\right)
z\neq 1
Solve for z
z=-\left(y+1\right)
y\neq -2
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y=\frac{\left(z-1\right)\left(z+1\right)}{-z+1}
Factor the expressions that are not already factored in \frac{z^{2}-1}{1-z}.
y=\frac{-\left(z+1\right)\left(-z+1\right)}{-z+1}
Extract the negative sign in -1+z.
y=-\left(z+1\right)
Cancel out -z+1 in both numerator and denominator.
y=-z-1
Expand the expression.
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