5x(y+2)/6y+12

To simplify the expression \(\frac{5x(y+2)}{6y+12}\), we can start by factoring the denominator. The denominator is \(6y + 12\). We can factor out a common factor of 6: \[ 6y + 12 = 6(y + 2) \] Now, substituting this back into the expression, we have: \[ \frac{5x(y+2)}{6(y+2)} \] Next, we can cancel out the common factor of \(y + 2\) (assuming \(y \neq -2\) to avoid division by zero): \[ \frac{5x}{6} \] So, the simplified expression is: \[ \frac{5x}{6} \] This is the final answer, provided \(y \neq -2\).