Hello As the verb, 'emigrate' is 'go out of a country (to settle in another country)' The word focuses its sense on 'leaving a country'. 'Immigrate' is 'come into a country to settle down there'. The word focuses its sense on 'coming into a country'.
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With your earlier sentences, Paco, I think the verb should relate to the nearer location:
'My friend emigrated from Japan to the USA'
'My friend immigrated to the USA from Japan.'
The speaker's lo