Solve -3/4[(12x+28y)-8(7x-y)]

$$- \frac { 3 } { 4 } [ ( 12 x + 28 y ) - 8 ( 7 x - y ) ]$$

Evaluate

$$33x-27y$$

Solution Steps

Use the distributive property to multiply -8 by 7x-y.

$$-\frac{3}{4}\left(12x+28y-56x+8y\right)$$

Combine 12x and -56x to get -44x.

$$-\frac{3}{4}\left(-44x+28y+8y\right)$$

Combine 28y and 8y to get 36y.

$$-\frac{3}{4}\left(-44x+36y\right)$$

Use the distributive property to multiply -\frac{3}{4} by -44x+36y.

$$-\frac{3}{4}\left(-44\right)x-\frac{3}{4}\times 36y$$

Express -\frac{3}{4}\left(-44\right) as a single fraction.

$$\frac{-3\left(-44\right)}{4}x-\frac{3}{4}\times 36y$$

Multiply -3 and -44 to get 132.

$$\frac{132}{4}x-\frac{3}{4}\times 36y$$

Divide 132 by 4 to get 33.

$$33x-\frac{3}{4}\times 36y$$

Express -\frac{3}{4}\times 36 as a single fraction.

$$33x+\frac{-3\times 36}{4}y$$

Multiply -3 and 36 to get -108.

$$33x+\frac{-108}{4}y$$

Divide -108 by 4 to get -27.

$$33x-27y$$

Expand

$$33x-27y$$

Solution Steps

Use the distributive property to multiply -8 by 7x-y.

$$-\frac{3}{4}\left(12x+28y-56x+8y\right)$$

Combine 12x and -56x to get -44x.

$$-\frac{3}{4}\left(-44x+28y+8y\right)$$

Combine 28y and 8y to get 36y.

$$-\frac{3}{4}\left(-44x+36y\right)$$

Use the distributive property to multiply -\frac{3}{4} by -44x+36y.

$$-\frac{3}{4}\left(-44\right)x-\frac{3}{4}\times 36y$$

Express -\frac{3}{4}\left(-44\right) as a single fraction.

$$\frac{-3\left(-44\right)}{4}x-\frac{3}{4}\times 36y$$

Multiply -3 and -44 to get 132.

$$\frac{132}{4}x-\frac{3}{4}\times 36y$$

Divide 132 by 4 to get 33.

$$33x-\frac{3}{4}\times 36y$$

Express -\frac{3}{4}\times 36 as a single fraction.

$$33x+\frac{-3\times 36}{4}y$$

Multiply -3 and 36 to get -108.

$$33x+\frac{-108}{4}y$$

Divide -108 by 4 to get -27.

$$33x-27y$$