The main reason the embed code you were using wasn't working was because you had the actual YouTube page as the video source.
HTML Code:
http://www.youtube.com/watch?v=979W1QB1H2Q
However, that's just where the video is embedded on YouTube. The source of a YouTube video will look like this:
HTML Code:
http://www.youtube.com/embed/979W1QB1H2Q
In any event, the iframe code Mr_Running posted is probably the better option, since that's what YouTube promotes now. Again, note the source URL.