Well, it's just like if you said to someone "part of me wants to have a second piece of cake, but part of me knows it's a bad idea." The urge to eat the cake may be coming from a part of your brain which is interested in seeking enjoyable experiences; the knowledge that you shouldn't may be coming from a part of you that is mostly concerned with taking care of your health.

Just like in a large company there are employees tasked with many different things (cleaning the building, answering the phones, sending out the paychecks, etc.), you can consider that there are "parts" of our brains (although it's not as though you could neatly cut them apart or anything!) tasked with many different functions all the way from keeping us breathing to managing our social relationships. Just like employees in a well-run company work together smoothly, in an ideal situation all the parts of our brains and personalities work together more or less seamlessly; sometimes we may be aware of conflicts between parts or different points of view on a situation, but we have enough "leadership" of ourselves to manage it. However, given the wrong developmental conditions, that doesn't necessarily happen. In that case, a person's parts can act more like a bunch of children fighting with no adult at home than like employees in a well-functioning company.

To be more specific about what Asiablue is describing though, it sounds as though she finds the multiple emotions confusing because she isn't sure which ones are "real." In some cases we can have multiple authentic feelings about a situation and it isn't a problem...like how people can feel both happy and sad at a wedding. But sometimes one of the feelings is really coming from a part of us that doesn't want us to feel our real feelings, and that's when the confusion comes in. For example, I could really feel hurt about something, but instead of feeling hurt I could bounce between feeling "numb" and feeling angry and thus end up questioning how I really feel about it. You could say I have parts that are trying to protect me from feeling hurt by making me feel numb and angry instead. Hopefully in the process of therapy we develop enough self-awareness and sense of security that we can feel our real feelings and not be confused by the alternative feelings that may be covering them up.