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

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

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by y-2.

$$-4y+8+y=7\left(4-y\right)$$

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

$$-3y+8=7\left(4-y\right)$$

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

$$-3y+8=28-7y$$

Add 7y to both sides.

$$-3y+8+7y=28$$

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

$$4y+8=28$$

Subtract 8 from both sides.

$$4y=28-8$$

Subtract 8 from 28 to get 20.

$$4y=20$$

Divide both sides by 4.

$$y=\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$y=5$$