#### Answer

$y\le-4$

#### Work Step by Step

Using the properties of inequality, the solution to the given inequality, $
4(2y-3)\le-44
,$ is
\begin{array}{l}\require{cancel}
4(2y)+4(-3)\le-44
\\\\
8y-12\le-44
\\\\
8y\le-44+12
\\\\
8y\le-32
\\\\
y\le-\dfrac{32}{8}
\\\\
y\le-4
.\end{array}