[tex]\frac{2xy - 7}{3x + 8} = 1[/tex]
[tex]2xy - 7 = 3x + 8[/tex]
[tex]2xy = 3x + 15[/tex]
[tex]2xy - 3x = 15[/tex]
[tex]x(2y - 3) = 15[/tex]
[tex]2y - 3 = \frac{15}{x}[/tex]
[tex]2y = 3 + \frac{15}{x}[/tex]
[tex]y = 1\frac{1}{2} + \frac{15}{2x}[/tex]
[tex]y = \frac{15}{2x} + 1\frac{1}{2}[/tex]
[tex]y = 7\frac{1}{2}x^{-1} + 1\frac{1}{2}[/tex]
