Phương trình tương đương
\(\left(\sqrt{x+2014}-\sqrt{y+2014}\right)+\left(\sqrt{2015-x}-\sqrt{2015-y}\right)+\left(\sqrt{2014-x}+\sqrt{2014-y}\right)=0\)
\(\Leftrightarrow\dfrac{x-y}{\sqrt{x+2014}+\sqrt{y+2014}}-\dfrac{x-y}{\sqrt{2015-x}+\sqrt{2015-y}}-\dfrac{x-y}{\sqrt{2014-x}-\sqrt{2014-y}}=0\)
\(\Rightarrow x=y\)