I'd say that the first sentence in each pair is correct. As for the reason why, I think that the main verb in a sentence must normally be preceded by a modal. I cannot swim.
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langtravelerCould anyone explain the order of 'may' and 'not'?"may" always comes first. "not" comes later.
langtravelera. I may not be right. b. I may be not right.This has to do with the order of "not" and "be", not the order of "may" and "not".