We believe that if we can reduce alcohol consumption through naltrexone and psychotherapy, this may lead to reduced cocaine use. We are also conducting this study to test two different types of psychotherapy as a method for reducing cocaine and alcohol use. One type of psychotherapy, CBT, is designed to help people learn to cope with situations that put them at high risk for relapse to cocaine and/or alcohol use. The other type of psychotherapy, BRENDA, will use focuses on strengthening motivation to recover from cocaine and/or alcohol use, and on developing techniques to handle possible barriers to recovery. We seek to enroll 300 patients in the study.