Solve (5-2y)-(3y+6)=(7y+11)-(3y-6)

$$(5-2y)-(3y+6)=(7y+11)-(3y-6)$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

To find the opposite of 3y+6, find the opposite of each term.

$$5-2y-3y-6=7y+11-\left(3y-6\right)$$

Combine -2y and -3y to get -5y.

$$5-5y-6=7y+11-\left(3y-6\right)$$

Subtract 6 from 5 to get -1.

$$-1-5y=7y+11-\left(3y-6\right)$$

To find the opposite of 3y-6, find the opposite of each term.

$$-1-5y=7y+11-3y-\left(-6\right)$$

The opposite of -6 is 6.

$$-1-5y=7y+11-3y+6$$

Combine 7y and -3y to get 4y.

$$-1-5y=4y+11+6$$

Add 11 and 6 to get 17.

$$-1-5y=4y+17$$

Subtract 4y from both sides.

$$-1-5y-4y=17$$

Combine -5y and -4y to get -9y.

$$-1-9y=17$$

Add 1 to both sides.

$$-9y=17+1$$

Add 17 and 1 to get 18.

$$-9y=18$$

Divide both sides by -9.

$$y=\frac{18}{-9}$$

Divide 18 by -9 to get -2.

$$y=-2$$