查明我的问题的确是失调造成的，我就放心了。

I was relieved to find out that my problems were due to a genuine disorder.

《柯林斯英汉双解大词典》

听到你没有受伤，我就放心了。

I was quite relieved to hear that you didn't get hurt.

youdao

果真如此，我就放心了。

If this is really true, it'll take a load off my mind.

《新英汉大辞典》

If people wanna kind of slide back, that's fine, as I'm talking Okay, we're ready.

各位要是现在想换到后排,就放心换,没关系的,我不介意,好,我们可以开始了

耶鲁公开课 - 心理学导论课程节选