I took a distribution from my 401K and put it back into the same 401K within the 60 day time period allowed by the IRS or the big financial company that holds my 401K. Should I subtract the amount I took out from my 1099R? Or what?

No, do not edit your 1099-R.  Enter the 1099-R exactly as you see it.   After you enter it, there will be follow-up questions, and you will be asked what you did with the money.   That is where you will tell TurboTax that you rolled it over, and TurboTax will make the necessary adjustments.