Basic Math Examples

$- 12 = 6 + \frac{2}{3} y$

Step 1

Rewrite the equation as $6 + \frac{2}{3} y = - 12$ .

$6 + \frac{2}{3} y = - 12$

Step 2

Combine $\frac{2}{3}$ and $y$ .

$6 + \frac{2 y}{3} = - 12$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $6$ from both sides of the equation.

$\frac{2 y}{3} = - 12 - 6$

Step 3.2

Subtract $6$ from $- 12$ .

$\frac{2 y}{3} = - 18$

Step 4

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} \cdot \frac{2 y}{3} = \frac{3}{2} \cdot - 18$

Step 5

Simplify both sides of the equation.

Tap for more steps...

Step 5.1

Simplify the left side.

Tap for more steps...

Step 5.1.1

Simplify $\frac{3}{2} \cdot \frac{2 y}{3}$ .

Tap for more steps...

Step 5.1.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 5.1.1.1.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 y}{3} = \frac{3}{2} \cdot - 18$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 y) = \frac{3}{2} \cdot - 18$

Step 5.1.1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.1.1.2.1

Factor $2$ out of $2 y$ .

$\frac{1}{2} (2 (y)) = \frac{3}{2} \cdot - 18$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 y) = \frac{3}{2} \cdot - 18$

Step 5.1.1.2.3

Rewrite the expression.

$y = \frac{3}{2} \cdot - 18$

Step 5.2

Simplify the right side.

Tap for more steps...

Step 5.2.1

Simplify $\frac{3}{2} \cdot - 18$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.2.1.1.1

Factor $2$ out of $- 18$ .

$y = \frac{3}{2} \cdot (2 (- 9))$

Step 5.2.1.1.2

Cancel the common factor.

$y = \frac{3}{2} \cdot (2 \cdot - 9)$

Step 5.2.1.1.3

Rewrite the expression.

$y = 3 \cdot - 9$

Step 5.2.1.2

Multiply $3$ by $- 9$ .

$y = - 27$