Embedding a YouTube Video

To embed a video from YouTube, just follow these simple steps:

1 - Click on the "Share" button underneath the YouTube video.
2 - Select "Show more," and then click on the Blogger icon.
3 - Depending on whether or not you're signed in to your blog, you might have to enter in your username and password in the new window that pops up.
4 - At the top of the new window, choose the blog you would like to post to from the drop-down menu.
5 - Publish your post!

Alternatively, you can copy the embed code and paste it into your blog. 

1 - Just click on "Share" and then on "Embed" to find the embed code.
2 - Copy the code, then paste it into your blog while on the "Edit HTML" tab (as opposed to the "Compose" tab).

At http://support.google.com/blogger/bin/answer.py?hl=en&answer=80767