Question 1070069
y= |−2x+5|-|2x−5|

if x<&#8722;2.5, then 2x-5 is negative and -2x+5 is positive
So, y = -2x+5 - -(2x-5) = -2x+5+2x-5 = 0
-----------------------------------------------
if x>2.5, then -2x+5 is negative and 2x-5 is positive
So y = -(-2x+5) - (2x-5) = 2x-5-2x+5 = 0 
if &#8722;2.5&#8804;x&#8804;2.5 then y = 5-5 = 0
----
Simpler solution::
Rewrite your problem as::
y = |-(2x-5)|-|(2x-5)]
Since |a| = |-a|, y = 0
-------------
Cheers,
Stan H.
---------------