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Surname Агай (Agay , Agaj , Agai ) , all over the world, is quite a common last name. The family name Агай is habitual in Albania, where it is quite a common surname, Kosovo, and Hungary, where it is quite a rare surname. In absolute terms, the name is most common in India, Philippines, and Albania. Likewise, Агай is the forename as well as the last name.