MySQL: How to add one day to datetime field in query

You can use the DATE_ADD() function:

... WHERE DATE(DATE_ADD(eventdate, INTERVAL -1 DAY)) = CURRENT_DATE

It can also be used in the SELECT statement:

SELECT DATE_ADD('2010-05-11', INTERVAL 1 DAY) AS Tomorrow;
+------------+
| Tomorrow   |
+------------+
| 2010-05-12 |
+------------+
1 row in set (0.00 sec)