[tex] \frac{2x + 3y}{3x + 2y} /:y = \frac{ \frac{2x + 3y}{y} }{ \frac{3x + 2y}{y} } = \frac{ \frac{2x}{y} + \frac{3y}{y} }{ \frac{3x}{y} + \frac{2y}{y} } = \frac{ 2 \cdot \frac{x}{y} \: + \: 3 }{3 \cdot \frac{x}{y} \: + \: 2} = \frac{2 \cdot 2 \: + \: 3}{3 \cdot 2 \: + \: 2} = \frac{4 \: + \: 3}{6 \: + \: 2} = \frac{7}{8} [/tex]
