\[\frac{y^{2}}{y^{2} - 25} - \frac{y^{\backslash y - 5}}{y + 5} =\]
\[= \frac{y^{2} - y^{2} + 5y}{(y - 5)(y + 5)} = \frac{5y}{y^{2} - 25}.\]