"私が行きましょう" は英語の意味を教えてください。
Hi, I know that phrase ending with ましょう or ましょうか will get the Japanese expression for "let's...", so "行きましょう" basically means "Let's go". However, I have no idea how should I comprehend the meaning of 私が行きましょう. Any explanation will be appreciated.

Question

Answer

「ましょう」is a broken sound of 「ませう」, which consists of 「ませ」＋「う」.
「ませ」：「ます」の未然形
「う」：particle indicating 'guess'

- さあ、行きましょう　= Maybe we are gonna go -> Let's go
- 私が行きましょう = Maybe I'm gonna go -> I will go.

and you can say
- 明日は雨になるでしょう。　Maybe it's gonna rain tomorrow.
- もう3年になるでしょうか。 Maybe it is 3 years since then, isn't it?

Answer

you can use しょう as "will"

l'll go
l'll do it for you  
lt will rain            etc...

not only "let's ～"

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I think that "私がいきましょう" means that I will go in behalf of you.

For example, at least one of member of group should attend a meeting, but everyone hesitates.  In that case, I sometime use the phrase of "私がいきましょう" even if I want not to go, too, in order to wrap up promptly the discussion who should go.

Answer

みんなさん，ありがとうございます。