1969, Cockney pronunciation of bother "trouble" (q.v.), given wide extended usage in skinhead slang.
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bother v.
1718, also bauther, bather, bodder, "to bewilder, confuse;" 1745 as "give trouble to;" first in Irish writers (Sheridan, Swift, Sterne), hence probably from Anglo-Irish pother, which is perhaps from Irish bodhairim "I deafen." Related: Bothered; bothering. As a noun from 1803.