多亏...才 means "thanks to X, I/we was/were able to Y." It expresses gratitude and credits someone or something for a good result.
Expressing gratitude - Thanks to your help
Crediting the cause - Because of X, Y was possible
Acknowledging contribution - Without X, Y would not have happened
Thanks to your help, I was able to finish on time.
多亏 specifically credits someone/something, while 幸亏 is more general "fortunately."
多亏 vs 幸亏
- 多亏 = thanks to (credits specific cause)
- 幸亏 = fortunately (general luck)
才 emphasizes the necessity
- Without the help, it would NOT have been possible
Can omit 才 in casual speech
- 多亏你帮忙,我完成了
Thanks to your help, I was able to finish on time.
Thanks to having a map, we did not get lost.
Thanks to the teacher guidance, I was able to pass the exam.
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