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MathCounts 2025 State — Sprint Round (Problem 30)

If xx and yy are real numbers such that (4−x)(4+y)=2(4 - x)(4 + y) = 2 and (4+x)(4−y)=3(4 + x)(4 - y) = 3, what is the value of (x2−1)(y2−1)(x^2 - 1)(y^2 - 1)? Express your answer as a common fraction.