Answer
$y=\dfrac{4x-6}{3}$
Work Step by Step
Using the properties of equality, in terms of $
y
$, the given equation, $
4x-3y=6
$, is equivalent to
\begin{array}{l}
-3y=6-4x
\\\\
y=\dfrac{6-4x}{-3}
\\\\
y=-\dfrac{6-4x}{3}
\\\\
y=\dfrac{4x-6}{3}
.\end{array}