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