YOU SAID:

That's no skin off my nose

INTO JAPANESE

それは私の鼻から肌がない

BACK INTO ENGLISH

It has no skin from my nose

INTO JAPANESE

私の鼻の皮膚はありません

BACK INTO ENGLISH

I do not have my nose skin

INTO JAPANESE

私は鼻の皮膚を持っていない

BACK INTO ENGLISH

I do not have nose skin

INTO JAPANESE

私は鼻の皮膚を持っていない

BACK INTO ENGLISH

I do not have nose skin