Solve -2(-9y+7)-2y=4(y-2)-9

$$- 2 ( - 9 y + 7 ) - 2 y = 4 ( y - 2 ) - 9$$

Solve for y

$$y=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by -9y+7.

$$18y-14-2y=4\left(y-2\right)-9$$

Combine 18y and -2y to get 16y.

$$16y-14=4\left(y-2\right)-9$$

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

$$16y-14=4y-8-9$$

Subtract 9 from -8 to get -17.

$$16y-14=4y-17$$

Subtract 4y from both sides.

$$16y-14-4y=-17$$

Combine 16y and -4y to get 12y.

$$12y-14=-17$$

Add 14 to both sides.

$$12y=-17+14$$

Add -17 and 14 to get -3.

$$12y=-3$$

Divide both sides by 12.

$$y=\frac{-3}{12}$$

Reduce the fraction \frac{-3}{12} to lowest terms by extracting and canceling out 3.

$$y=-\frac{1}{4}$$