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

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

Solve for y

$$y=-10$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply -3 by 4y-1.

$$2y-4-12y+3=9\left(1-y\right)$$

Combine 2y and -12y to get -10y.

$$-10y-4+3=9\left(1-y\right)$$

Add -4 and 3 to get -1.

$$-10y-1=9\left(1-y\right)$$

Use the distributive property to multiply 9 by 1-y.

$$-10y-1=9-9y$$

Add 9y to both sides.

$$-10y-1+9y=9$$

Combine -10y and 9y to get -y.

$$-y-1=9$$

Add 1 to both sides.

$$-y=9+1$$

Add 9 and 1 to get 10.

$$-y=10$$

Multiply both sides by -1.

$$y=-10$$