Solve 2y+5-(4y-6)=9-4y

$$2 y + 5 - ( 4 y - 6 ) = 9 - 4 y$$

Solve for y

$$y=-1$$

Steps for Solving Linear Equation

To find the opposite of 4y-6, find the opposite of each term.

$$2y+5-4y-\left(-6\right)=9-4y$$

The opposite of -6 is 6.

$$2y+5-4y+6=9-4y$$

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

$$-2y+5+6=9-4y$$

Add 5 and 6 to get 11.

$$-2y+11=9-4y$$

Add 4y to both sides.

$$-2y+11+4y=9$$

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

$$2y+11=9$$

Subtract 11 from both sides.

$$2y=9-11$$

Subtract 11 from 9 to get -2.

$$2y=-2$$

Divide both sides by 2.

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

Divide -2 by 2 to get -1.

$$y=-1$$