So many DE's installed, and we have a conflict of interest when the OP tried to remove, No telling what will now have to be replaced, just trial and error with ' apt-get upgrade ' .
Make sure all the PPAs are supported in trusty; temporarily disable all of them until the package manager is stable;
results -> apt-get -f install ?
results -> sudo dpkg -C -> ?
Focus on getting the system stable using the default DE ,unity, up and running as the display manager .
Run sudo dpkg-reconfigure lightdm to set the default display manager
Then we see where we stand.
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