## Precalculus (6th Edition) Blitzer

We have the given algebraic expression: $\frac{-3y-6}{y+2}$ We know that for an algebraic expression, a rational expression is an expression which can be expressed in the form $\frac{p}{q}$, where, both $p\ \text{and }q$ are polynomials and the denominator $q\ne 0$. Now, factorize the numerator of the given expression: $-3y-6=-3\left( y+6 \right)$ So, the fraction gets simplified to the form: \begin{align} & \frac{-3y-6}{y+2}=\frac{-3\left( y+2 \right)}{\left( y+2 \right)} \\ & =\frac{-3\left( y+2 \right)}{\left( y+2 \right)} \\ & =-3 \end{align} Thus, the result of the given algebraic expression simplifies to the consecutive integer that follows $-4$. Hence, the given statement is True.