Ubuntu – Installing Unity alongside KDE

I have been running Kubuntu 15.10 32-bit for a while, and although I love the KDE enviroment, I would like the option of having Unity. So, I did the following:

sudo apt-get update
sudo apt-get install unity

I then rebooted, and when I was at the login screen, I tried to switch from plasma to unity, but the only options were "Plasma" and "Failsafe". When i run:

sudo apt list | grep gnome

or:

sudo apt list | grep unity

I am presented with several packages saying "Unity-8-desktop", or something along those lines, so I know Unity is installed, I just can't reach it. Can anyone help me?