#### Answer

The required solution is True

#### Work Step by Step

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.