Here’s a quick and easy fix to the problem of Skype on Windows 7 staying in the taskbar instead of minimizing to system tray.
- start skype
- go to tools –> options –> advanced.
- uncheck Keep Skype in the taskbar while I’m signed in.
- click OK
Thanks to “Good Samaritan” for pointing this out in the comments, after I previously posted a flawed solution.