Solve -0.6x-7/2y-(-7/5x-2.5y)+(+12x-1/6y)

$$- 0.6 x - \frac { 7 } { 2 } y - ( - \frac { 7 } { 5 } x - 2.5 y ) + ( + 12 x - \frac { 1 } { 6 } y )$$

Evaluate

$$\frac{64x}{5}-\frac{7y}{6}$$

Solution Steps

To find the opposite of -\frac{7}{5}x-2.5y, find the opposite of each term.

$$-0.6x-\frac{7}{2}y-\left(-\frac{7}{5}x\right)-\left(-2.5y\right)+12x-\frac{1}{6}y$$

The opposite of -\frac{7}{5}x is \frac{7}{5}x.

$$-0.6x-\frac{7}{2}y+\frac{7}{5}x-\left(-2.5y\right)+12x-\frac{1}{6}y$$

The opposite of -2.5y is 2.5y.

$$-0.6x-\frac{7}{2}y+\frac{7}{5}x+2.5y+12x-\frac{1}{6}y$$

Combine -0.6x and \frac{7}{5}x to get \frac{4}{5}x.

$$\frac{4}{5}x-\frac{7}{2}y+2.5y+12x-\frac{1}{6}y$$

Combine -\frac{7}{2}y and 2.5y to get -y.

$$\frac{4}{5}x-y+12x-\frac{1}{6}y$$

Combine \frac{4}{5}x and 12x to get \frac{64}{5}x.

$$\frac{64}{5}x-y-\frac{1}{6}y$$

Combine -y and -\frac{1}{6}y to get -\frac{7}{6}y.

$$\frac{64}{5}x-\frac{7}{6}y$$

Expand

$$\frac{64x}{5}-\frac{7y}{6}$$

Solution Steps

To find the opposite of -\frac{7}{5}x-2.5y, find the opposite of each term.

$$-0.6x-\frac{7}{2}y-\left(-\frac{7}{5}x\right)-\left(-2.5y\right)+12x-\frac{1}{6}y$$

The opposite of -\frac{7}{5}x is \frac{7}{5}x.

$$-0.6x-\frac{7}{2}y+\frac{7}{5}x-\left(-2.5y\right)+12x-\frac{1}{6}y$$

The opposite of -2.5y is 2.5y.

$$-0.6x-\frac{7}{2}y+\frac{7}{5}x+2.5y+12x-\frac{1}{6}y$$

Combine -0.6x and \frac{7}{5}x to get \frac{4}{5}x.

$$\frac{4}{5}x-\frac{7}{2}y+2.5y+12x-\frac{1}{6}y$$

Combine -\frac{7}{2}y and 2.5y to get -y.

$$\frac{4}{5}x-y+12x-\frac{1}{6}y$$

Combine \frac{4}{5}x and 12x to get \frac{64}{5}x.

$$\frac{64}{5}x-y-\frac{1}{6}y$$

Combine -y and -\frac{1}{6}y to get -\frac{7}{6}y.

$$\frac{64}{5}x-\frac{7}{6}y$$