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