Solve for y |y-3|=2

Math
|y-3|=2
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
y-3=±2
Set up the positive portion of the ± solution.
y-3=2
Move all terms not containing y to the right side of the equation.
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Add 3 to both sides of the equation.
y=2+3
Add 2 and 3.
y=5
y=5
Set up the negative portion of the ± solution.
y-3=-2
Move all terms not containing y to the right side of the equation.
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Add 3 to both sides of the equation.
y=-2+3
Add -2 and 3.
y=1
y=1
The solution to the equation includes both the positive and negative portions of the solution.
y=5,1
Solve for y |y-3|=2

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