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GMAT Problem Solving (PS) | Re: Interesting Absolute value Problem

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jjack0310 wrote:

Bunuel wrote:
GMATBLACKBELT720 wrote:

Why when y<0 do we get -2y?


Wheny<0 , then|y|=-y andx+|y|-y=6 becomes:x-y-y=6 -->x-2y=6.


Sorry, still confusing me.
I understand the first y i.e.
|y| = -y
But y < 0,
so wouldn't x + |y| - y = x - y - (-y), which would make it just x?
n |y|=-y: correct. But y must stay as it is.

Consider this, suppose we have only x-y=6, and I tell you that y is negative would you rewrite the equation as x-(-y)=6?

Hope it's clear.
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