My freshman uses his debit card in the laundry rooms, and it has cost him $2.50 each time. (That includes the total cost of washing plus drying.) Machines are right there on Old Campus, and there is an app that tells you the availability of machines in each location. He has not found it a big expense nor a huge inconvenience.
You can pay to have your laundry done by a laundry service at Yale if time is a big concern. This is, obviously, much more costly. Link is here: Student Financial and Administrative Services | Laundry
At colleges where the laundry is included, you can be sure that it is built into the overall costs and you are paying for it anyway. Only one of the colleges that my son visited included laundry service.