Solve 12-[4-2(y+1)]/2=2y+6

$$\frac { 12 - [ 4 - 2 ( y + 1 ) ] } { 2 } = 2 y + 6$$

Solve for y

$$y=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$12-\left(4-2\left(y+1\right)\right)=4y+12$$

Use the distributive property to multiply -2 by y+1.

$$12-\left(4-2y-2\right)=4y+12$$

Subtract 2 from 4 to get 2.

$$12-\left(2-2y\right)=4y+12$$

To find the opposite of 2-2y, find the opposite of each term.

$$12-2-\left(-2y\right)=4y+12$$

The opposite of -2y is 2y.

$$12-2+2y=4y+12$$

Subtract 2 from 12 to get 10.

$$10+2y=4y+12$$

Subtract 4y from both sides.

$$10+2y-4y=12$$

Combine 2y and -4y to get -2y.

$$10-2y=12$$

Subtract 10 from both sides.

$$-2y=12-10$$

Subtract 10 from 12 to get 2.

$$-2y=2$$

Divide both sides by -2.

$$y=\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$y=-1$$