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here it is

ВыучИ эту песню наизусть.
Memorize that song by heart

Они учат эту песню наизусть
They are memorizing that song by heart.

Я выучила русский язык за год
I learned Russian in...

Then we would not be able to talk I guess, because I say "чё" all the time :lol:. In Siberia it's a norm, in a worst case scenario you can get punched for saying "што" (are you a Muscovite, mate?)...

She is wrong:
http://www.yandex.ru/yandsearch?text=%C ... &stype=www

There may be some sort of a rule, but it's not the language that follows rules, it's the other way around. You cannot derive...

выучиться means to get an education, a profession "Я выучился на лингвиста"

выучить means to memorize, to learn a theoretical subject "Я выучил песню, я выучил арабский язык"

Научиться means...