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Let y = sin^-1 (sin8) - tan^-1(tan 10) ...

Let `y = sin^-1 (sin8) - tan^-1(tan 10) + cos^(-1)(cos12)-sec^(-1) (sec9) + cot^-1(cot6) - cosec^(-1)(cosec 7 )`. If y simplifies to `api + b`, then find `(a-b)`.

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