Solve for y 6+1/3y=10+12x

$6 + \frac{1}{3} y = 10 + 12 x$

Step 1

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

$6 + \frac{y}{3} = 10 + 12 x$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$\frac{y}{3} = 10 + 12 x - 6$

Subtract $6$ from $10$ .

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

Step 3

Multiply both sides of the equation by $3$ .

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

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$y = 3 (12 x + 4)$

Simplify the right side.

Simplify $3 (12 x + 4)$ .

Apply the distributive property.

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

Multiply.

Multiply $12$ by $3$ .

$y = 36 x + 3 \cdot 4$

Multiply $3$ by $4$ .

$y = 36 x + 12$