Solve 0,2x+4/5y-(-2/5x)+1/10y+7/5y-2y

$$0,2 x + \frac { 4 } { 5 } y - ( - \frac { 2 } { 5 } x ) + \frac { 1 } { 10 } y + \frac { 7 } { 5 } y - 2 y$$

Evaluate

$$\frac{3\left(2x+y\right)}{10}$$

Solution Steps

The opposite of -\frac{2}{5}x is \frac{2}{5}x.

$$0,2x+\frac{4}{5}y+\frac{2}{5}x+\frac{1}{10}y+\frac{7}{5}y-2y$$

Combine 0,2x and \frac{2}{5}x to get \frac{3}{5}x.

$$\frac{3}{5}x+\frac{4}{5}y+\frac{1}{10}y+\frac{7}{5}y-2y$$

Combine \frac{4}{5}y and \frac{1}{10}y to get \frac{9}{10}y.

$$\frac{3}{5}x+\frac{9}{10}y+\frac{7}{5}y-2y$$

Combine \frac{9}{10}y and \frac{7}{5}y to get \frac{23}{10}y.

$$\frac{3}{5}x+\frac{23}{10}y-2y$$

Combine \frac{23}{10}y and -2y to get \frac{3}{10}y.

$$\frac{3}{5}x+\frac{3}{10}y$$

Factor

$$\frac{3\left(2x+y\right)}{10}$$

Solution Steps

The opposite of -\frac{2}{5}x is \frac{2}{5}x.

$$factor(0,2x+\frac{4}{5}y+\frac{2}{5}x+\frac{1}{10}y+\frac{7}{5}y-2y)$$

Combine 0,2x and \frac{2}{5}x to get \frac{3}{5}x.

$$factor(\frac{3}{5}x+\frac{4}{5}y+\frac{1}{10}y+\frac{7}{5}y-2y)$$

Combine \frac{4}{5}y and \frac{1}{10}y to get \frac{9}{10}y.

$$factor(\frac{3}{5}x+\frac{9}{10}y+\frac{7}{5}y-2y)$$

Combine \frac{9}{10}y and \frac{7}{5}y to get \frac{23}{10}y.

$$factor(\frac{3}{5}x+\frac{23}{10}y-2y)$$

Combine \frac{23}{10}y and -2y to get \frac{3}{10}y.

$$factor(\frac{3}{5}x+\frac{3}{10}y)$$

Factor out \frac{3}{10}.

$$\frac{3\left(2x+y\right)}{10}$$