# Solve for y 1+10|7y+7|=71 1+10|7y+7|=71
Move all terms not containing |7y+7| to the right side of the equation.
Subtract 1 from both sides of the equation.
10|7y+7|=71-1
Subtract 1 from 71.
10|7y+7|=70
10|7y+7|=70
Divide each term by 10 and simplify.
Divide each term in 10|7y+7|=70 by 10.
10|7y+7|10=7010
Cancel the common factor of 10.
Cancel the common factor.
10|7y+7|10=7010
Divide |7y+7| by 1.
|7y+7|=7010
|7y+7|=7010
Divide 70 by 10.
|7y+7|=7
|7y+7|=7
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
7y+7=±7
Set up the positive portion of the ± solution.
7y+7=7
Solve the first equation for y.
Move all terms not containing y to the right side of the equation.
Subtract 7 from both sides of the equation.
7y=7-7
Subtract 7 from 7.
7y=0
7y=0
Divide each term by 7 and simplify.
Divide each term in 7y=0 by 7.
7y7=07
Cancel the common factor of 7.
Cancel the common factor.
7y7=07
Divide y by 1.
y=07
y=07
Divide 0 by 7.
y=0
y=0
y=0
Set up the negative portion of the ± solution.
7y+7=-7
Solve the second equation for y.
Move all terms not containing y to the right side of the equation.
Subtract 7 from both sides of the equation.
7y=-7-7
Subtract 7 from -7.
7y=-14
7y=-14
Divide each term by 7 and simplify.
Divide each term in 7y=-14 by 7.
7y7=-147
Cancel the common factor of 7.
Cancel the common factor.
7y7=-147
Divide y by 1.
y=-147
y=-147
Divide -14 by 7.
y=-2
y=-2
y=-2
The solution to the equation includes both the positive and negative portions of the solution.
y=0,-2
Solve for y 1+10|7y+7|=71

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