\(\frac{x}{8}-\frac{2}{y}=\frac{3}{4}\)
\(\Leftrightarrow\frac{xy}{8y}-\frac{16}{8y}=\frac{3}{4}\)
\(\Leftrightarrow\frac{xy-16}{8y}=\frac{3}{4}\)
\(\Leftrightarrow4\left(xy-16\right)=3\cdot8y\)
\(\Leftrightarrow xy-16=6y\)
\(\Leftrightarrow xy-6y=16\)
\(\Leftrightarrow y\left(x-6\right)=16\)