# Solve for y 3-|y+9|=11-3|y+9|

3-|y+9|=11-3|y+9|
Move all terms containing |y+9| to the left side of the equation.
Add 3|y+9| to both sides of the equation.
3-|y+9|+3|y+9|=11
3+2|y+9|=11
3+2|y+9|=11
Move all terms not containing |y+9| to the right side of the equation.
Subtract 3 from both sides of the equation.
2|y+9|=11-3
Subtract 3 from 11.
2|y+9|=8
2|y+9|=8
Divide each term by 2 and simplify.
Divide each term in 2|y+9|=8 by 2.
2|y+9|2=82
Cancel the common factor of 2.
Cancel the common factor.
2|y+9|2=82
Divide |y+9| by 1.
|y+9|=82
|y+9|=82
Divide 8 by 2.
|y+9|=4
|y+9|=4
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
y+9=±4
Set up the positive portion of the ± solution.
y+9=4
Move all terms not containing y to the right side of the equation.
Subtract 9 from both sides of the equation.
y=4-9
Subtract 9 from 4.
y=-5
y=-5
Set up the negative portion of the ± solution.
y+9=-4
Move all terms not containing y to the right side of the equation.
Subtract 9 from both sides of the equation.
y=-4-9
Subtract 9 from -4.
y=-13
y=-13
The solution to the equation includes both the positive and negative portions of the solution.
y=-5,-13
Solve for y 3-|y+9|=11-3|y+9|

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