Solve 8(y+4)-2(y-1)=70-3y

$$8 ( y + 4 ) - 2 ( y - 1 ) = 70 - 3 y$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by y+4.

$$8y+32-2\left(y-1\right)=70-3y$$

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

$$8y+32-2y+2=70-3y$$

Combine 8y and -2y to get 6y.

$$6y+32+2=70-3y$$

Add 32 and 2 to get 34.

$$6y+34=70-3y$$

Add 3y to both sides.

$$6y+34+3y=70$$

Combine 6y and 3y to get 9y.

$$9y+34=70$$

Subtract 34 from both sides.

$$9y=70-34$$

Subtract 34 from 70 to get 36.

$$9y=36$$

Divide both sides by 9.

$$y=\frac{36}{9}$$

Divide 36 by 9 to get 4.

$$y=4$$