How do you solve for $y$ for the equation $2 x - 3 y = 6$ ?

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Solution

Solve for $y$ in $2 x - 3 y = 6$
Separate $y$ term from rest of the terms
$2 x - 3 y = 6$
$\Rightarrow$ $- 3 y = 6 - 2 x$
$\Rightarrow$ $- y = \frac{6 - 2 x}{3}$
$\Rightarrow$ $y = - 2 + \frac{2 x}{3}$
Hence the value of $y$ is $- 2 + \frac{2 x}{3}$

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