Basic Math Examples

$2 p = 5 y + 6 \div 7$

Step 1

Rewrite the equation as $5 y + 6 \div 7 = 2 p$ .

$5 y + 6 \div 7 = 2 p$

Step 2

Rewrite the division as a fraction.

$5 y + \frac{6}{7} = 2 p$

Step 3

Subtract $\frac{6}{7}$ from both sides of the equation.

$5 y = 2 p - \frac{6}{7}$

Step 4

Divide each term in $5 y = 2 p - \frac{6}{7}$ by $5$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $5 y = 2 p - \frac{6}{7}$ by $5$ .

$\frac{5 y}{5} = \frac{2 p}{5} + \frac{- \frac{6}{7}}{5}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{2 p}{5} + \frac{- \frac{6}{7}}{5}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 p}{5} + \frac{- \frac{6}{7}}{5}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Simplify each term.

Tap for more steps...

Step 4.3.1.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{2 p}{5} - \frac{6}{7} \cdot \frac{1}{5}$

Step 4.3.1.2

Multiply $- \frac{6}{7} \cdot \frac{1}{5}$ .

Tap for more steps...

Step 4.3.1.2.1

Multiply $\frac{1}{5}$ by $\frac{6}{7}$ .

$y = \frac{2 p}{5} - \frac{6}{5 \cdot 7}$

Step 4.3.1.2.2

Multiply $5$ by $7$ .

$y = \frac{2 p}{5} - \frac{6}{35}$