Solve 3(y+2)-7(y+4)=-7-y

$$3 ( y + 2 ) - 7 ( y + 4 ) = - 7 - y$$

Solve for y

$$y=-5$$

Steps for Solving Linear Equation

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

$$3y+6-7\left(y+4\right)=-7-y$$

Use the distributive property to multiply -7 by y+4.

$$3y+6-7y-28=-7-y$$

Combine 3y and -7y to get -4y.

$$-4y+6-28=-7-y$$

Subtract 28 from 6 to get -22.

$$-4y-22=-7-y$$

Add y to both sides.

$$-4y-22+y=-7$$

Combine -4y and y to get -3y.

$$-3y-22=-7$$

Add 22 to both sides.

$$-3y=-7+22$$

Add -7 and 22 to get 15.

$$-3y=15$$

Divide both sides by -3.

$$y=\frac{15}{-3}$$

Divide 15 by -3 to get -5.

$$y=-5$$