Dean,
MyEclipse 10.x version includes an embedded Tomcat 6 server. You can find that under Window > Preferences > MyEclipse > Servers > Integrated Sandbox > MyEclipse Tomcat 6. (Please see the attached screenshot for a visual reference)
MyEclipse 2013 and 2014 version includes embedded Tomcat 6 and Tomcat 7 servers by default.
Hope this helps. Let us know if you see any issues.