* The two institutions: The accepting institution's policies on transfer credits are paramount. Some are very strict, accepting only credits from specific institutions or within a certain timeframe. Others are more lenient. Contact the admissions or registrar's office at the *new* institution. They can tell you definitively what credits, if any, from your previous degree will transfer and how they'll apply toward the new degree requirements.
* The two programs: The specific courses you took in your previous degree and the required courses in your new degree program will determine which credits might transfer. Even if the course titles are similar, the content might differ enough to prevent transfer. A course in "Introduction to Psychology" from your previous degree might not satisfy the requirements for "Abnormal Psychology" in your new program.
* Credit expiration policies: Some institutions have policies about how old credits can be before they're no longer accepted for transfer. Five years is approaching the upper limit for many institutions. Again, check with the new institution.
* Prior learning assessment (PLA): If the new institution offers PLA, you might be able to demonstrate competency in some areas through exams or portfolios, even if the credits themselves don't transfer. This could potentially save you even more time than simply transferring existing credits.
In short: Don't assume anything. Contact the admissions office of the new institution and provide them with your transcript from your previous degree. They are the only ones who can tell you definitively what credits will transfer and how much time it will save you.