你能帮我个忙把我刚收到的这封信处理掉吗？

Would you do me a favour and get rid of this letter I've just received?

《柯林斯英汉双解大词典》

你帮我的忙，我太感激了。

It was really kind of you to help me.

《牛津词典》

你帮了这么大的忙，理应受到奖励。

You deserve a reward for being so helpful.

《牛津词典》

There will be days when you're very busy, you don't have time to eat and your food intake is lower then normal.

有些天你可能很忙,没有时间吃东西,你的食物摄入就比平时少

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

and your boss comes to you with a very large project when you already have much work to do.

你的老板找到你，希望你参与一个大型项目，而你自己的工作已经快忙不过来了。

I think 课堂 - SpeakingMax英语口语达人

You're so busy just doing things you normally do.

你忙着做你通常要做的各种事情。

普林斯顿公开课 - 人性课程节选