Solve for y y/6-2/3=3

$\frac{y}{6} - \frac{2}{3} = 3$

Step 1

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

Add $\frac{2}{3}$ to both sides of the equation.

$\frac{y}{6} = 3 + \frac{2}{3}$

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{y}{6} = 3 \cdot \frac{3}{3} + \frac{2}{3}$

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

$\frac{y}{6} = \frac{3 \cdot 3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{y}{6} = \frac{3 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{y}{6} = \frac{9 + 2}{3}$

Add $9$ and $2$ .

$\frac{y}{6} = \frac{11}{3}$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{y}{6} = 6 (\frac{11}{3})$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{y}{6} = 6 (\frac{11}{3})$

Rewrite the expression.

$y = 6 (\frac{11}{3})$

Simplify the right side.

Simplify $6 (\frac{11}{3})$ .

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$y = 3 (2) \frac{11}{3}$

Cancel the common factor.

$y = 3 \cdot 2 \frac{11}{3}$

Rewrite the expression.

$y = 2 \cdot 11$

Multiply $2$ by $11$ .

$y = 22$