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If you saw "Oy Me" written, if may have been misspelled, and it should have been "Ay, mi", which can be a 'lament' or an exclamation in Spanish meaning "Oh dear" or "Oh, my". However, it also could have been a shortened form of "óigame", meaning 'listen to me' or 'hear me' in Spanish.
Another possibility, depending on the context in which you saw this written or heard it, could have been "Oy, me encantan......" with the comma between the 'Oy' and the 'me', meaning 'Oh, I liked [something very much]', for example.
If you can tell me the context in which you saw this written or heard it, I would be able to give you an exact translation, if it were spelled and used correctly.
One more possibility: if you saw or heard 'Oy Vey!' this is a Yiddish exclamation, meaning also, 'Oh my'.
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