No Space left on Mac

How to Free Up Space on The Hard Drive

1. You can remove data from your Home folder except for the /Home/Library/ folder.
2. Visit The XLab FAQs and read the FAQ on freeing up space on your hard drive.
3. Also, see Freeing space on your Mac OS X startup disk.
4. See Where did my Disk Space go?.
5. Be sure to Empty the Trash to recover the space.
6. Replace the drive with a larger one. Check out OWC for drives, tutorials, and toolkits.
7. Use OmniDiskSweeper or GrandPerspective to search your drive for large files and where they are located.

[Permission to use part or all of the above has been granted by Kappy, exclusively, to theratter.]

I think you should ignore the Storage information of About This Mac. Select the Desktop disk icon. Press Command-I to open the Get Info window. In the topmost panel is the disk information: Capacity, Available, and Used. I have no idea what you mean by the "35 gig."

http://osxdaily.com/2015/01/15/other-storage-space-mac-os-x/

You can follow an apple article : OS X Yosemite: Increase disk space

also , click on go > hold option key & don't release it > library > remove the contents of folders caches , cookies , saved application state into trash .

Finally , restart from apple logo & empty the trash .