Solve for y 4x-1/3y=12

$4 x - \frac{1}{3} y = 12$

Combine $y$ and $\frac{1}{3}$ .

$4 x - \frac{y}{3} = 12$

Subtract $4 x$ from both sides of the equation.

$- \frac{y}{3} = 12 - 4 x$

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{y}{3}) = - 3 (12 - 4 x)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{y}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{y}{3}$ into the numerator.

$- 3 \frac{- y}{3} = - 3 (12 - 4 x)$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- y}{3} = - 3 (12 - 4 x)$

Cancel the common factor.

$3 \cdot - 1 \frac{- y}{3} = - 3 (12 - 4 x)$

Rewrite the expression.

$- - y = - 3 (12 - 4 x)$

$- - y = - 3 (12 - 4 x)$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 3 (12 - 4 x)$

Multiply $y$ by $1$ .

$y = - 3 (12 - 4 x)$

$y = - 3 (12 - 4 x)$

$y = - 3 (12 - 4 x)$

$y = - 3 (12 - 4 x)$

Simplify the right side.

Simplify $- 3 (12 - 4 x)$ .

Apply the distributive property.

$y = - 3 \cdot 12 - 3 (- 4 x)$

Multiply.

Multiply $- 3$ by $12$ .

$y = - 36 - 3 (- 4 x)$

Multiply $- 4$ by $- 3$ .

$y = - 36 + 12 x$

$y = - 36 + 12 x$

$y = - 36 + 12 x$

$y = - 36 + 12 x$

$y = - 36 + 12 x$

Reorder $- 36$ and $12 x$ .

$y = 12 x - 36$

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