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

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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.

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

Factor $3$ out of $- 3$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Multiply.

Multiply $- 1$ by $- 1$ .

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

Multiply $y$ by $1$ .

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

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

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

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

Simplify the right side.

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

Apply the distributive property.

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

Multiply.

Multiply $- 3$ by $3$ .

$y = - 9 - 3 (- 4 x)$

Multiply $- 4$ by $- 3$ .

$y = - 9 + 12 x$

$y = - 9 + 12 x$

$y = - 9 + 12 x$

$y = - 9 + 12 x$

$y = - 9 + 12 x$

Step 5

Reorder $- 9$ and $12 x$ .

$y = 12 x - 9$

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