@Susan37
It depends on where and how you are hosting, and how serious this 'partying' is.
If there was no extra people other than registered guests, and the noise level was understandable, I would just tell them to be quiet, and apologize to my neighbors.
But for more serious 'partying', with extra guests, huge noise, mess, etc - immediate eviction works the best. Contact Airbnb about this matter right away, and get them to cancel this reservation as well.
When this kind of things happen, the guests will get upset no matter what. If they were the people who would be understanding of the situation and truely sorry for what they did, they wouldn't even try this in the first place. So it won't really work to warn them to be quiet. Also the place is already a mess, it would be just expected that they won't clean it up and just make more mess.