What is the best way to get rid of a stye on? Your? Eye?

Compresses! You can use warm compresses - a washcloth with warm water and hold it to the closed eye for 5-10 minutes 3 times a day. You can massage it with your fingers after the compress, but do not aggravate it. You are trying to get it to drain on its own. You may need it incised and drained if this does not work. See and ophthalmologist. A sty is not and infection, so antibiotics do not help.
Sty. Wet heat (warm soaks). Usually self limited but antibiotic eyes drops shorten the course.

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What is the best way to get rid of an eye stye?

See below. Use frequent clean warm (not too hot) compresses over the closed eye for several minutes, several times a day. If it doesn't go away after a couple of weeks, see an ophthalmologist. Read more...