Question 953349
{{{y=-abs(x)-1}}}


x can be positive, or zero, or negative.
|x|  can ONLY be ZERO OR POSITIVE.  It can NEVER be negative.
-|x|  can ONLY be negative or zero, based on the possibilities for |x|.


Be sure that you clearly understand that.


What kind of "answer" are you looking for?  You already have y in terms of x.  This is an equation for two half-lines.  The critical x value is at 0.


Two cases occur for your equation.
x is non-negative and x is negative.  Those are two separate cases.  x is not non-negative and negative at the same time. 


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Either {{{y=-x-1}}}  OR  {{{y=-x-1}}};  
really these are the same result  (and I explained but did not show the steps);
that {{{highlight(y=-x-1)}}}.