Tenant wanting to pay-up after 3-day notice

[Jon Fed]

I am in CA. I served my tenant a 3-day notice and am quite sure he will not have the $$$ to pay in 3 days. My next step would be to get a lawyer and start the eviction process? Being in CA, I know this will take quite a while/months. In the mean time, if he comes up with the $$$, am I obligated to keep him in the house? If so, should I legally expect all late fees associated at the time he pays up? Thank you in advance.