Answer
$y=-\dfrac{8}{3}$
Work Step by Step
Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $
8y+4=5y-4
,$ is
\begin{array}{l}\require{cancel}
8y-5y=-4-4
\\\\
3y=-8
\\\\
y=\dfrac{-8}{3}
\\\\
y=-\dfrac{8}{3}
.\end{array}