# How do you solve for y in # x = | y + 5 | #?

##### 1 Answer

Oct 18, 2017

#### Explanation:

Whenever you have an absolute value problem like this, split it into two equations like so:

#a = |b|#

#a = b " " or " " a = -b#

In this case, we have the following two equations:

#x = |y+5|#

#x = y + 5 " " or " " x = -(y+5)#

#x - 5 = y " " or " " x + 5 = -y#

#x - 5 = y " " or " " -x-5 = y#

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One final thing we must note, however, is that

*Final Answer*