$$\frac{x - y}{x - 3} \cdot \frac{xy - 3y}{x^2 - y^2} = \frac{x - y}{x - 3} \cdot \frac{y(x - 3)}{(x - y)(x + y)} = \frac{(x - y)y(x - 3)}{(x - 3)(x - y)(x + y)} = \frac{y}{x + y}$$
Ответ: $$\frac{y}{x + y}$$