a euphemism for performing oral sex, usually cunnilingus. The allusion is to both eating out and to shape of receiver's body and spread legs forming the shape of the letter Y. Sometimes abbreviated as DATY.
Of the things I like to do with a woman in bed, dining at the y is one of my favorites.
Leo's girlfriend was wearing a mini skirt with no panties. Throught the day, Leo would simply life the shirt and eat some Chicken at the Y whenever he wanted.