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(x+y)4=x−y\large {( x+y )}^4 = x-y(x+y)4=x−y
Real numbers xxx and yyy satisfy the equation above.
The maximum value of yyy can be expressed in the form of ab3c\dfrac{a \sqrt[3]{b}}{c}ca3b, where aaa, bbb and ccc are positive integers, with aaa and ccc being coprime integers and bbb a prime.
Submit your answer as a+b+ca+b+ca+b+c.
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