Ubuntu 14.04 Laptop Screen Shaking - no problem on external monitor (HDMI) - Lenovo Y70 Touch
Solution 1:
I got the same issue with you, after numerous installs I could not fix the issue, but then i tried installing a later kernel, more specific 3.18rc3. For me this fixed the problem, the one thing that i can not do is install the nvidia drivers but this is not an issue for me.
Get the .deb files from here http://linuxg.net/how-to-install-kernel-3-18-rc3-on-ubuntu-14-10-ubuntu-14-04-and-derivatives/
I hope this helps