Solve for y -8+1/3y=2

$- 8 + \frac{1}{3} y = 2$

Step 1

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

$- 8 + \frac{y}{3} = 2$

Step 2

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

Add $8$ to both sides of the equation.

$\frac{y}{3} = 2 + 8$

Add $2$ and $8$ .

$\frac{y}{3} = 10$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{y}{3} = 3 \cdot 10$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{y}{3} = 3 \cdot 10$

Rewrite the expression.

$y = 3 \cdot 10$

Simplify the right side.

Multiply $3$ by $10$ .

$y = 30$