Basic Math Examples

$6 (y + 5) = 8$

Step 1

Divide each term in $6 (y + 5) = 8$ by $6$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $6 (y + 5) = 8$ by $6$ .

$\frac{6 (y + 5)}{6} = \frac{8}{6}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $6$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{6 (y + 5)}{6} = \frac{8}{6}$

Step 1.2.1.2

Divide $y + 5$ by $1$ .

$y + 5 = \frac{8}{6}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Cancel the common factor of $8$ and $6$ .

Tap for more steps...

Step 1.3.1.1

Factor $2$ out of $8$ .

$y + 5 = \frac{2 (4)}{6}$

Step 1.3.1.2

Cancel the common factors.

Tap for more steps...

Step 1.3.1.2.1

Factor $2$ out of $6$ .

$y + 5 = \frac{2 \cdot 4}{2 \cdot 3}$

Step 1.3.1.2.2

Cancel the common factor.

$y + 5 = \frac{2 \cdot 4}{2 \cdot 3}$

Step 1.3.1.2.3

Rewrite the expression.

$y + 5 = \frac{4}{3}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $5$ from both sides of the equation.

$y = \frac{4}{3} - 5$

Step 2.2

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{4}{3} - 5 \cdot \frac{3}{3}$

Step 2.3

Combine $- 5$ and $\frac{3}{3}$ .

$y = \frac{4}{3} + \frac{- 5 \cdot 3}{3}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{4 - 5 \cdot 3}{3}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $- 5$ by $3$ .

$y = \frac{4 - 15}{3}$

Step 2.5.2

Subtract $15$ from $4$ .

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

Step 2.6

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 3.\overline{6}$

Mixed Number Form:

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