Why does $-14 \bmod 12 = 10$? I would be grateful if someone could explain this to me step by step, for I am but a novice in the field of modular arithmetic.  I obtained this equation by playing around with values for (x,y,z) in: x mod y = z on the Google calculator. Thank you!
Edit: I would like to hit myself on the head- I see it now. Thanks to everyone who responded! Unless there is a discussion going on in this post right now, it can be marked as resolved.