Probabilistic Expansion Part I

When the expression \((2𝑥+𝑦)^{2014}\) is expanded, two terms are selected at random. The probability that the sum of the coefficients of the two terms selected is even can be expressed as \(\frac{a}{b}\), where \(a\) and \(b\) are positive integers. What is the value of \(b-a\)?

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