Everyone has its own approach, you have to find the one which suits you best.
If you emotionaly feel bad, you have to remember its your thoughts that make you feel bad (that also counts for physical pain, but thats another story).
So what to do with negative thoughts? Just let them be. Be there, be aware of them, but dont hang onto them. Dont let your focus get attracted by them. Just let them be. Thats what you learn in meditation, isnt it? Stay aware in the moment, but dont hang on to any thoughts.
But as we arent enlightened yet, there are still some negative thoughts that create negative feelings.
So what to do with those negative feelings? Just let them be. Be there, be aware of them, but dont try to manipulate them in any way. Our first reaction to negative feelings is to surpress them, mostly by distracting ourselfs from them (addictions like tv, internet, drugs, alcohol, work, etc.). But this way, they wont get released. To release them, we have to be there, be aware of them, feel them and accept them.
Hope this helps in addition to olmate´s approach.
Atb,
Pan