Basic Math Examples

$y + \frac{1}{4} y = 20$

Step 1

Simplify $y + \frac{1}{4} y$ .

Tap for more steps...

Step 1.1

Combine $\frac{1}{4}$ and $y$ .

$y + \frac{y}{4} = 20$

Step 1.2

To write $y$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y \cdot \frac{4}{4} + \frac{y}{4} = 20$

Step 1.3

Simplify terms.

Tap for more steps...

Step 1.3.1

Combine $y$ and $\frac{4}{4}$ .

$\frac{y \cdot 4}{4} + \frac{y}{4} = 20$

Step 1.3.2

Combine the numerators over the common denominator.

$\frac{y \cdot 4 + y}{4} = 20$

Step 1.4

Simplify the numerator.

Tap for more steps...

Step 1.4.1

Move $4$ to the left of $y$ .

$\frac{4 \cdot y + y}{4} = 20$

Step 1.4.2

Add $4 y$ and $y$ .

$\frac{5 y}{4} = 20$

Step 2

Multiply both sides of the equation by $\frac{4}{5}$ .

$\frac{4}{5} \cdot \frac{5 y}{4} = \frac{4}{5} \cdot 20$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $\frac{4}{5} \cdot \frac{5 y}{4}$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1.1.1.1

Cancel the common factor.

$\frac{4}{5} \cdot \frac{5 y}{4} = \frac{4}{5} \cdot 20$

Step 3.1.1.1.2

Rewrite the expression.

$\frac{1}{5} (5 y) = \frac{4}{5} \cdot 20$

Step 3.1.1.2

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.1.2.1

Factor $5$ out of $5 y$ .

$\frac{1}{5} (5 (y)) = \frac{4}{5} \cdot 20$

Step 3.1.1.2.2

Cancel the common factor.

$\frac{1}{5} (5 y) = \frac{4}{5} \cdot 20$

Step 3.1.1.2.3

Rewrite the expression.

$y = \frac{4}{5} \cdot 20$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $\frac{4}{5} \cdot 20$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.2.1.1.1

Factor $5$ out of $20$ .

$y = \frac{4}{5} \cdot (5 (4))$

Step 3.2.1.1.2

Cancel the common factor.

$y = \frac{4}{5} \cdot (5 \cdot 4)$

Step 3.2.1.1.3

Rewrite the expression.

$y = 4 \cdot 4$

Step 3.2.1.2

Multiply $4$ by $4$ .

$y = 16$