MHB How Can You Solve for y in the Equation $(a+b)^{a+b} = a^a + y$?

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$$(a+b)^{a+b}=a^a+y$$ ; sorry i am edited a^b to a^a
Suppose we know a and b.
y in the term of a, b?
 
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How about
$$y=(a+b)^{a+b}-a^b? $$
 

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