IMO 1987 LL TUR60

It is given that x = −2272, y = 103 +102c+10b+a, and z = 1

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IMO 1987 LL TUR60

Origin: TUR

Problem

It is given that x = −2272, y = 103 +102c+10b+a, and z = 1 satisfy the equation ax + by + cz = 1, where a, b, c are positive integers with a < b < c. Find y.