Answer
$y=4$
Work Step by Step
$$\begin{align*}
11y&=44 &\text{Combine like terms.}\\
\\\frac{11y}{11}&=\frac{44}{11} &\text{Divide both sides by 11.}\\
\\y&=4&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $4$ to the variable in the given equation.
$$\begin{align*}
8y+3y&=44\\
8(4)+3(4)&\stackrel{?}{=}44\\
32+12&\stackrel{?}{=}44\\
44&\stackrel{\checkmark}{=}44
\end{align*}$$
Thus, the solution is $y=4$.
