Does anyone know how to get really cheap international flights?!?

I really want to fly from somewhere near New York to Cairo, Egypt. It's like, number 3 or something on my bucket list. i'm working this summer and want to put away money for airfares and whatnot, but i don't think a little summer job at an ice cream shop is going to give me a wonderful trip to Egypt. So does anyone know any tips or anything that can get me some deals on flights like contests...something? Please help and be as specific as possible, it's really important to me. :-)