Algebra Examples

$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 + (- 2)$

Step 1

Remove parentheses.

$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 - 2$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Combine $\frac{2}{5}$ and $y$ .

$\frac{2 y}{5} + \frac{1}{5} x - 0.2 y - 6 - 2$

Step 2.2

Combine $\frac{1}{5}$ and $x$ .

$\frac{2 y}{5} + \frac{x}{5} - 0.2 y - 6 - 2$

Step 3

Combine the numerators over the common denominator.

$\frac{2 y + x}{5} - 0.2 y - 6 - 2$

Step 4

To write $- 0.2 y$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2 y + x}{5} - 0.2 y \cdot \frac{5}{5} - 6 - 2$

Step 5

Simplify terms.

Tap for more steps...

Step 5.1

Combine $- 0.2 y$ and $\frac{5}{5}$ .

$\frac{2 y + x}{5} + \frac{- 0.2 y \cdot 5}{5} - 6 - 2$

Step 5.2

Combine the numerators over the common denominator.

$\frac{2 y + x - 0.2 y \cdot 5}{5} - 6 - 2$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $5$ by $- 0.2$ .

$\frac{2 y + x - 1 y}{5} - 6 - 2$

Step 6.2

Rewrite $- 1 y$ as $- y$ .

$\frac{2 y + x - y}{5} - 6 - 2$

Step 6.3

Subtract $y$ from $2 y$ .

$\frac{x + y}{5} - 6 - 2$

Step 7

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{x + y}{5} - 6 \cdot \frac{5}{5} - 2$

Step 8

Combine $- 6$ and $\frac{5}{5}$ .

$\frac{x + y}{5} + \frac{- 6 \cdot 5}{5} - 2$

Step 9

Combine the numerators over the common denominator.

$\frac{x + y - 6 \cdot 5}{5} - 2$

Step 10

Multiply $- 6$ by $5$ .

$\frac{x + y - 30}{5} - 2$

Step 11

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{x + y - 30}{5} - 2 \cdot \frac{5}{5}$

Step 12

Simplify terms.

Tap for more steps...

Step 12.1

Combine $- 2$ and $\frac{5}{5}$ .

$\frac{x + y - 30}{5} + \frac{- 2 \cdot 5}{5}$

Step 12.2

Combine the numerators over the common denominator.

$\frac{x + y - 30 - 2 \cdot 5}{5}$

Step 13

Simplify the numerator.

Tap for more steps...

Step 13.1

Multiply $- 2$ by $5$ .

$\frac{x + y - 30 - 10}{5}$

Step 13.2

Subtract $10$ from $- 30$ .

$\frac{x + y - 40}{5}$