#### Answer

$y\le-2$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given, $
-4y-3\ge5
.$
$\bf{\text{Solution Details:}}$
Using the properties of equality, the inequality above is equivalent to
\begin{array}{l}\require{cancel}
-4y-3\ge5
\\\\
-4y\ge5+3
\\\\
-4y\ge8
.\end{array}
Dividing both sides by a negative number (and consequently reversing the inequality symbol), the inequality above is equivalent to
\begin{array}{l}\require{cancel}
-4y\ge8
\\\\
y\le\dfrac{8}{-4}
\\\\
y\le-2
.\end{array}