1. 人们热泪盈眶，高声喝彩。

Tears welled up in their eyes as they erupted into cheers.

2. 眼睛湿润了 one's eyes brimming with tears

3. 只是举手之劳 just a small favor 

4. 不需要跟我见外 there's no need for all this formality 

5. 重新稳定情绪 regain one's composure 

6. 陈年旧事被勾起 memories of the past resurfaced

7. 你放心 know this

8. 震惊到站不住 sb feels sb's knees go weak as the shock hit sb