What is the nuclear equation for the decay of carbon-14?

C-14 ##->## N-14 + ##beta^-##

The carbon-14 atoms undergo beta-minus decay (electron emission) and produce a beta particle and a nitrogen-14 atom.

A neutron in the atom undergoes decay and will produce a proton, electron (the beta particle ) and an electron antineutrino.

Here's a video to give more explanation...

Hope this helps!