Solve -12(-4x/15+1/3)+40y=4

$$- 12 ( \frac { - 4 x } { 15 } + \frac { 1 } { 3 } ) + 40 y = 4$$

Solve for x

$$x=\frac{5-25y}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 15,3.

$$-180\left(\frac{-4x}{15}+\frac{1}{3}\right)+600y=60$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 15 and 3 is 15. Multiply \frac{1}{3} times \frac{5}{5}.

$$-180\left(\frac{-4x}{15}+\frac{5}{15}\right)+600y=60$$

Since \frac{-4x}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$-180\times \frac{-4x+5}{15}+600y=60$$

Cancel out 15, the greatest common factor in 180 and 15.

$$-12\left(-4x+5\right)+600y=60$$

Use the distributive property to multiply -12 by -4x+5.

$$48x-60+600y=60$$

Add 60 to both sides.

$$48x+600y=60+60$$

Add 60 and 60 to get 120.

$$48x+600y=120$$

Subtract 600y from both sides.

$$48x=120-600y$$

Divide both sides by 48.

$$\frac{48x}{48}=\frac{120-600y}{48}$$

Dividing by 48 undoes the multiplication by 48.

$$x=\frac{120-600y}{48}$$

Divide 120-600y by 48.

$$x=\frac{5-25y}{2}$$

Solve for y

$$y=-\frac{2x}{25}+\frac{1}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 15,3.

$$-180\left(\frac{-4x}{15}+\frac{1}{3}\right)+600y=60$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 15 and 3 is 15. Multiply \frac{1}{3} times \frac{5}{5}.

$$-180\left(\frac{-4x}{15}+\frac{5}{15}\right)+600y=60$$

Since \frac{-4x}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$-180\times \frac{-4x+5}{15}+600y=60$$

Cancel out 15, the greatest common factor in 180 and 15.

$$-12\left(-4x+5\right)+600y=60$$

Use the distributive property to multiply -12 by -4x+5.

$$48x-60+600y=60$$

Subtract 48x from both sides.

$$-60+600y=60-48x$$

Add 60 to both sides.

$$600y=60-48x+60$$

Add 60 and 60 to get 120.

$$600y=120-48x$$

Divide both sides by 600.

$$\frac{600y}{600}=\frac{120-48x}{600}$$

Dividing by 600 undoes the multiplication by 600.

$$y=\frac{120-48x}{600}$$

Divide 120-48x by 600.

$$y=-\frac{2x}{25}+\frac{1}{5}$$