Question

Simplify: (y- (4/y))/(3+(6/y))

Answer 1

\[\frac{y-\frac{4}{y}}{3+\frac{6}{y}}\]
\[\frac{\frac{y^2-4}{y}}{\frac{3y+6}{y}}\]
\[\frac{y^2-4}{\cancel y}*\frac{\cancel y}{3y+6}\]
\[\frac{\cancel{(y+2)}(y-2)}{3\cancel{(y+2)}}\]
\[\frac{y-2}{3}\]