Answer
$y=\dfrac{6}{5}x-\dfrac{7}{5}$
Work Step by Step
Using the properties of equality, in terms of $
y
,$ the given equation, $
6x-5y=7
,$ is equivalent to
\begin{array}{l}\require{cancel}
-5y=-6x+7
\\\\
y=\dfrac{-6}{-5}x+\dfrac{7}{-5}
\\\\
y=\dfrac{6}{5}x-\dfrac{7}{5}
.\end{array}