Solve 20y-(10-y)12=72

$$20 y - ( 10 - y ) 12 = 72$$

Solve for y

$$y=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10-y by 12.

$$20y-\left(120-12y\right)=72$$

To find the opposite of 120-12y, find the opposite of each term.

$$20y-120-\left(-12y\right)=72$$

The opposite of -12y is 12y.

$$20y-120+12y=72$$

Combine 20y and 12y to get 32y.

$$32y-120=72$$

Add 120 to both sides.

$$32y=72+120$$

Add 72 and 120 to get 192.

$$32y=192$$

Divide both sides by 32.

$$y=\frac{192}{32}$$

Divide 192 by 32 to get 6.

$$y=6$$