You can put this solution on YOUR website! Is it -(x-y)+(y-z)+(z-x)?
if so it is y-x+y-z+z-x=2y-2x.
Or if it is just (x-y)+(y-z)+(z-x)=x-y+y-z+z-x=0.
When opening brackets, mind if there is a negative coefficient(including -1) before it, which changes the sign in the brackets. The result can completely change and destroy your whole solution in complicated calculations.