Solve 3(2y-1)-2(y-4)=2(y+1)+9

$$3 ( 2 y - 1 ) - 2 ( y - 4 ) = 2 ( y + 1 ) + 9$$

Solve for y

$$y=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2y-1.

$$6y-3-2\left(y-4\right)=2\left(y+1\right)+9$$

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

$$6y-3-2y+8=2\left(y+1\right)+9$$

Combine 6y and -2y to get 4y.

$$4y-3+8=2\left(y+1\right)+9$$

Add -3 and 8 to get 5.

$$4y+5=2\left(y+1\right)+9$$

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

$$4y+5=2y+2+9$$

Add 2 and 9 to get 11.

$$4y+5=2y+11$$

Subtract 2y from both sides.

$$4y+5-2y=11$$

Combine 4y and -2y to get 2y.

$$2y+5=11$$

Subtract 5 from both sides.

$$2y=11-5$$

Subtract 5 from 11 to get 6.

$$2y=6$$

Divide both sides by 2.

$$y=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$y=3$$