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Family name Ubay (Ubay , أبي , Убай ) , around the world, is a common last name. The last name Ubay is characteristic of Libya, where it is quite a common surname, Morocco, and Iraq, where it is quite a rare surname. Not in comparison with a country's population, the name is most common in Morocco, Philippines, and Indonesia. Likewise, Ubay is the forename as well as the last name.