to admit your mistake and apologize
Признать свою ошибку и извиниться (Priznat svoiu oshibku i izvinit'sya)
"After blaming her friend, she had to eat humble pie when she realized she was wrong."
"После того как она обвинила свою подругу, ей пришлось признать свою ошибку, когда она поняла, что была неправа" (Posle togo kak ona obvinila svoiu podrugu, ei prishlos priznat svoiu oshibku, kogda ona ponyala, chto byla neprava)
to be more advanced or innovative than others
to refuse to change your position or opinion
to go out and celebrate wildly
to enter a new field or profession successfully
to express an opinion in a direct and straightforward way
to discuss something until a decision is reached