$$\frac{ { x }^{ 2 } +5x }{ { x }^{ 2 } -25 } \times \frac{ 3 { y }^{ 2 } -15y }{ 6y }$$
$\frac{x\left(y-5\right)}{2\left(x-5\right)}$
$$\frac{x\left(x+5\right)}{\left(x-5\right)\left(x+5\right)}\times \frac{3y^{2}-15y}{6y}$$
$$\frac{x}{x-5}\times \frac{3y^{2}-15y}{6y}$$
$$\frac{x}{x-5}\times \frac{3y\left(y-5\right)}{6y}$$
$$\frac{x}{x-5}\times \frac{y-5}{2}$$
$$\frac{x\left(y-5\right)}{\left(x-5\right)\times 2}$$
$$\frac{xy-5x}{\left(x-5\right)\times 2}$$
$$\frac{xy-5x}{2x-10}$$
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$\frac{xy-5x}{2\left(x-5\right)}$
