# Seems easy huh?

Algebra Level 4

If $$\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c} = a+b+c ,$$ then $$\dfrac{1}{(2a+b+c)^2}+\dfrac{1}{(2b+a+c)^2}+\dfrac{1}{(2c+a+b)^2} \leq \dfrac{x}{y},$$

where $$x,y$$ are coprime integers. Find the value of $$x+y.$$

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