Solve 4(3x-8/2)-3(3y+6/2)+25

$$4( \frac{ 3x-8 }{ 2 } )-3( \frac{ 3y+6 }{ 2 } )+25$$

Evaluate

$$-\frac{9y}{2}+6x$$

Short Solution Steps

Cancel out 2, the greatest common factor in 4 and 2.

$$2\left(3x-8\right)-3\times \frac{3y+6}{2}+25$$

Use the distributive property to multiply 2 by 3x-8.

$$6x-16-3\times \frac{3y+6}{2}+25$$

Express 3\times \frac{3y+6}{2} as a single fraction.

$$6x-16-\frac{3\left(3y+6\right)}{2}+25$$

Use the distributive property to multiply 3 by 3y+6.

$$6x-16-\frac{9y+18}{2}+25$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6x-16 times \frac{2}{2}.

$$\frac{2\left(6x-16\right)}{2}-\frac{9y+18}{2}+25$$

Since \frac{2\left(6x-16\right)}{2} and \frac{9y+18}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(6x-16\right)-\left(9y+18\right)}{2}+25$$

Do the multiplications in 2\left(6x-16\right)-\left(9y+18\right).

$$\frac{12x-32-9y-18}{2}+25$$

Combine like terms in 12x-32-9y-18.

$$\frac{12x-50-9y}{2}+25$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 25 times \frac{2}{2}.

$$\frac{12x-50-9y}{2}+\frac{25\times 2}{2}$$

Since \frac{12x-50-9y}{2} and \frac{25\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{12x-50-9y+25\times 2}{2}$$

Do the multiplications in 12x-50-9y+25\times 2.

$$\frac{12x-50-9y+50}{2}$$

Combine like terms in 12x-50-9y+50.

$$\frac{12x-9y}{2}$$

Expand

$$-\frac{9y}{2}+6x$$

Short Solution Steps

Cancel out 2, the greatest common factor in 4 and 2.

$$2\left(3x-8\right)-3\times \frac{3y+6}{2}+25$$

Use the distributive property to multiply 2 by 3x-8.

$$6x-16-3\times \frac{3y+6}{2}+25$$

Express 3\times \frac{3y+6}{2} as a single fraction.

$$6x-16-\frac{3\left(3y+6\right)}{2}+25$$

Use the distributive property to multiply 3 by 3y+6.

$$6x-16-\frac{9y+18}{2}+25$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6x-16 times \frac{2}{2}.

$$\frac{2\left(6x-16\right)}{2}-\frac{9y+18}{2}+25$$

Since \frac{2\left(6x-16\right)}{2} and \frac{9y+18}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(6x-16\right)-\left(9y+18\right)}{2}+25$$

Do the multiplications in 2\left(6x-16\right)-\left(9y+18\right).

$$\frac{12x-32-9y-18}{2}+25$$

Combine like terms in 12x-32-9y-18.

$$\frac{12x-50-9y}{2}+25$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 25 times \frac{2}{2}.

$$\frac{12x-50-9y}{2}+\frac{25\times 2}{2}$$

Since \frac{12x-50-9y}{2} and \frac{25\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{12x-50-9y+25\times 2}{2}$$

Do the multiplications in 12x-50-9y+25\times 2.

$$\frac{12x-50-9y+50}{2}$$

Combine like terms in 12x-50-9y+50.

$$\frac{12x-9y}{2}$$