[tex]\displaystyle\\
2014(x^2-6x+9)+2015\sqrt{(y^2+10y+25)}=0\\\\
2014(x-3)^2+2015\sqrt{(y+5)^2}=0\\\\
2014(x-3)^2+2015\cdot \Big|(y+5)\Big|=0\\\\
\Longrightarrow~~~x-3 = 0~~~si~~~y+5=0\\\\
x=\boxed{\bf 3}\\\\
y = \boxed{\bf -5}\\\\
x - y = 3 - (-5)=3+5= \boxed{\boxed{\bf 8}}[/tex]
