Solve 4(y-7)-(y+5)=2(1-y)

$$4 ( y - 7 ) - ( y + 5 ) = 2 ( 1 - y )$$

Solve for y

$$y=7$$

Steps for Solving Linear Equation

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

$$4y-28-\left(y+5\right)=2\left(1-y\right)$$

To find the opposite of y+5, find the opposite of each term.

$$4y-28-y-5=2\left(1-y\right)$$

Combine 4y and -y to get 3y.

$$3y-28-5=2\left(1-y\right)$$

Subtract 5 from -28 to get -33.

$$3y-33=2\left(1-y\right)$$

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

$$3y-33=2-2y$$

Add 2y to both sides.

$$3y-33+2y=2$$

Combine 3y and 2y to get 5y.

$$5y-33=2$$

Add 33 to both sides.

$$5y=2+33$$

Add 2 and 33 to get 35.

$$5y=35$$

Divide both sides by 5.

$$y=\frac{35}{5}$$

Divide 35 by 5 to get 7.

$$y=7$$