Thanks for the suggestion, but I don't quite get the answer. I get the part about putting a separate dot at each receiver with a short 3.5 rca cable. The part I don't understand is when I am in my living room, and I say "Alexa play the Rolling Stones" how does the echo dot in the basement connected to the living room receiver hear that command? How does the Alexa dot in the living room send that command to the living room Alexa Dot in the basement. And why wouldn't the command be picked up by my other Alexa device? And yes I will keep the echo dot I have in my living room right where it is now. And yes, all my Alexa devices are connected to the same network.

Thanks for the help!