Solve 7(y-3)=2(y-9)+2y

$$7 ( y - 3 ) = 2 ( y - 9 ) + 2 y$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by y-3.

$$7y-21=2\left(y-9\right)+2y$$

Use the distributive property to multiply 2 by y-9.

$$7y-21=2y-18+2y$$

Combine 2y and 2y to get 4y.

$$7y-21=4y-18$$

Subtract 4y from both sides.

$$7y-21-4y=-18$$

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

$$3y-21=-18$$

Add 21 to both sides.

$$3y=-18+21$$

Add -18 and 21 to get 3.

$$3y=3$$

Divide both sides by 3.

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

Divide 3 by 3 to get 1.

$$y=1$$