hti 8. \( \frac{3 y^{2}-7 y-6}{y-3} \)

To simplify the expression \( \frac{3 y^{2}-7 y-6}{y-3} \), start by factoring the numerator. The quadratic \( 3y^2 - 7y - 6 \) factors into \( (3y + 2)(y - 3) \). Now you can rewrite the expression as: \[ \frac{(3y + 2)(y - 3)}{y - 3} \] Assuming \( y \neq 3 \) (to avoid division by zero), you can cancel out the \( y - 3 \) term, resulting in: \[ 3y + 2 \] So, the simplified form of the expression is \( 3y + 2 \). Remember to note the restriction that \( y \neq 3 \).