Solve -27/4=y+2/2-3(y+2)/4

$$- \frac { 27 } { 4 } = \frac { y + 2 } { 2 } - \frac { 3 ( y + 2 ) } { 4 }$$

Solve for y

$$y=25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$-27=2\left(y+2\right)-3\left(y+2\right)$$

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

$$-27=2y+4-3\left(y+2\right)$$

Use the distributive property to multiply -3 by y+2.

$$-27=2y+4-3y-6$$

Combine 2y and -3y to get -y.

$$-27=-y+4-6$$

Subtract 6 from 4 to get -2.

$$-27=-y-2$$

Swap sides so that all variable terms are on the left hand side.

$$-y-2=-27$$

Add 2 to both sides.

$$-y=-27+2$$

Add -27 and 2 to get -25.

$$-y=-25$$

Multiply both sides by -1.

$$y=25$$