\[\frac{3x + 2y}{2x - 3y} - \frac{x - 8y}{3y - 2x} =\]
\[= \frac{3x + 2y}{2x - 3y} + \frac{x - 8y}{2x - 3y} =\]
\[= \frac{4x - 6y}{2x - 3y} = \frac{2 \cdot (2x - 3y)}{(2x - 3y)} = 2\]