\[\left( \frac{y^{\backslash y}}{y - x} - \frac{y - x^{\backslash y - x}}{y} \right) \cdot \frac{y - x}{x} =\]
\[= \frac{y^{2} - \left( y^{2} - 2yx + x^{2} \right)}{y(y - x)} \cdot \frac{y - x}{x} =\]
\[= \frac{y^{2} - y^{2} + 2yx - x^{2}}{\text{yx}} = \frac{2yx - x^{2}}{\text{yx}} =\]
\[= \frac{x(2y - x)}{\text{yx}} = \frac{2y - x}{y}\]