Answer
$y=\dfrac{5}{3}x-5$
Work Step by Step
Using the properties of equality, in terms of $
y
,$ the given equation, $
\dfrac{2}{3}x-\dfrac{2}{5}y=2
,$ is equivalent to
\begin{array}{l}\require{cancel}
15\left(\dfrac{2}{3}x-\dfrac{2}{5}y\right)=(2)15
\\\\
5(2x)-3(2y)=30
\\\\
10x-6y=30
\\\\
-6y=-10x+30
\\\\
y=\dfrac{-10}{-6}x+\dfrac{30}{-6}
\\\\
y=\dfrac{5}{3}x-5
.\end{array}
