Answer
$y=\dfrac{5x-8}{4}$
Work Step by Step
Using the properties of equality, in terms of $
y
$, the given equation, $
5x-4y=8
$, is equivalent to
\begin{array}{l}
-4y=8-5x
\\\\
y=\dfrac{8-5x}{-4}
\\\\
y=-\dfrac{8-5x}{4}
\\\\
y=\dfrac{5x-8}{4}
.\end{array}