\[\frac{y}{xy - x}\ \ :\frac{y}{y^{2} - 1} = \frac{y\left( y^{2} - 1 \right)}{x(y - 1) \cdot y} =\]
\[= \frac{(y - 1)(y + 1)}{x(y - 1)} = \frac{y + 1}{x}\]