Why does increasing the money supply decrease the interest rate in layman's terms?
On most fundamental level it is because interest rate is price for money. In the same way as price of milk goes down when supply of milk increases (ceteris paribus) price of money goes down when supply of money increases. For example, consider the following diagram from Blanchard et al. Macroeconomics below. You have supply of money (by central bank) and then you have demand for money by people. Interest rate ensures that demand for money = supply of money. If supply increases (shift to the right) interest rate has to decrease otherwise people would not be willing to get and hold that additional money.