Questions & Answers about wǒ de yǎnjing hěn lèi.
的 marks possession, so 我的眼睛 means my eyes.
The pattern is:
我 + 的 + 眼睛
= my eyes
In Chinese, 的 is very commonly used between a person and a noun they possess.
With body parts, native speakers sometimes omit 的 in casual speech, especially in certain sentence patterns, but 我的眼睛 is clear, natural, and very safe for learners.
Not always. In sentences like this, 很 often does not need to be translated as a strong very.
In Mandarin, when an adjective like 累 is used as the main predicate, Chinese often adds 很 to make the sentence sound natural and neutral.
So:
我的眼睛很累
usually means
My eyes are tired / My eyes feel tired
If you stress 很, then it can sound more like very tired.
So 很 here is often functioning more like a natural adjective marker than a strongly emphatic very.