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