Solve for y 3|6-y|=18

Math
3|6-y|=18
Divide each term by 3 and simplify.
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Divide each term in 3|6-y|=18 by 3.
3|6-y|3=183
Cancel the common factor of 3.
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Cancel the common factor.
3|6-y|3=183
Divide |6-y| by 1.
|6-y|=183
|6-y|=183
Divide 18 by 3.
|6-y|=6
|6-y|=6
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
6-y=±6
Set up the positive portion of the ± solution.
6-y=6
Solve the first equation for y.
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Move all terms not containing y to the right side of the equation.
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Subtract 6 from both sides of the equation.
-y=6-6
Subtract 6 from 6.
-y=0
-y=0
Multiply each term in -y=0 by -1
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Multiply each term in -y=0 by -1.
(-y)⋅-1=0⋅-1
Multiply (-y)⋅-1.
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Multiply -1 by -1.
1y=0⋅-1
Multiply y by 1.
y=0⋅-1
y=0⋅-1
Multiply 0 by -1.
y=0
y=0
y=0
Set up the negative portion of the ± solution.
6-y=-6
Solve the second equation for y.
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Move all terms not containing y to the right side of the equation.
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Subtract 6 from both sides of the equation.
-y=-6-6
Subtract 6 from -6.
-y=-12
-y=-12
Multiply each term in -y=-12 by -1
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Multiply each term in -y=-12 by -1.
(-y)⋅-1=(-12)⋅-1
Multiply (-y)⋅-1.
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Multiply -1 by -1.
1y=(-12)⋅-1
Multiply y by 1.
y=(-12)⋅-1
y=(-12)⋅-1
Multiply -12 by -1.
y=12
y=12
y=12
The solution to the equation includes both the positive and negative portions of the solution.
y=0,12
Solve for y 3|6-y|=18

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