Answer
$y=\dfrac{3}{2}x-3$
Work Step by Step
Using the properties of equality, in terms of $
y
,$ the given equation, $
\dfrac{1}{2}x-\dfrac{1}{3}y=1
,$ is equivalent to
\begin{array}{l}\require{cancel}
6\left(\dfrac{1}{2}x-\dfrac{1}{3}y\right)=(1)6
\\\\
3x-2y=6
\\\\
-2y=-3x+6
\\\\
y=\dfrac{-3}{-2}x+\dfrac{6}{-2}
\\\\
y=\dfrac{3}{2}x-3
.\end{array}
