Please elaborate. Do you have a specific question about it? Clarity trumps brevity.
Yes, you can end up with a negative value when an absolute value is used in an expression. That has nothing to do with the fact that the absolute value itself is never negative.
In "- |-2| = -( 2) = - 2", we are first taking an absolute value, yielding the positive number 2; then we take the negative of that. The result is not an absolute value, so it doesn't have to be positive.
The trouble here is that because you were so brief, I can't tell whether you were merely giving an illustration of this fact as an addition to the conversation, or making some kind of objection to what had been said. (In fact, I'm still not at all sure, because I can't tell whether you are wrongly using the word "question" to mean "expression", or referring to a question you still have.)
