Question

solve for y: 6x - 6y = 2

Explanation:

Step1: Isolate the y-term

Subtract $6x$ from both sides.
$6x - 6y - 6x = 2 - 6x$
$-6y = 2 - 6x$

Step2: Solve for y

Divide all terms by $-6$.
$y = \frac{2 - 6x}{-6} = \frac{-6x}{-6} + \frac{2}{-6}$

Step3: Simplify the fractions

Reduce each term to lowest terms.
$y = x - \frac{1}{3}$

Answer:

$y = x - \frac{1}{3}$