Solve 2+7y-10=-2(-1.)-2y+9

$$2 + 7 y - 10 = - 2 ( - 1 . ) - 2 y + 9$$

Solve for y

$$y = \frac{19}{9} = 2\frac{1}{9} \approx 2.111111111$$

Steps for Solving Linear Equation

Subtract 10 from 2 to get -8.

$$-8+7y=-2\left(-1\right)-2y+9$$

Multiply -2 and -1 to get 2.

$$-8+7y=2-2y+9$$

Add 2 and 9 to get 11.

$$-8+7y=11-2y$$

Add 2y to both sides.

$$-8+7y+2y=11$$

Combine 7y and 2y to get 9y.

$$-8+9y=11$$

Add 8 to both sides.

$$9y=11+8$$

Add 11 and 8 to get 19.

$$9y=19$$

Divide both sides by 9.

$$y=\frac{19}{9}$$