Different systems playing same music simultaneously

I have four different systems located in different rooms.
Is there a way to make them play the same music like a multi-room system?
Could I send the signal from one source to all the systems at the same time?
Each system has its own amplifier and speakers.
Is bluetooth an option? Can I use a transmitter and several receivers?
Does anyone have this kind of setup?
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I think you can do this with a number of streamers. I can do it with the now end of life Logitech Squeezebox, so I imagine it is a common feature.

You can do this through Roon.
Bluesound is probably what you want. 
A set of Nodes- and they don't have to be the latest edition, will give you what you want as a very competitive price.
It is what I am using as I write...

Depend on setup.
If all analog signals means running lots of long runs of cables and a multi out box, can be done but it's work.
Networking as Audiotroy states is better option.
But all depends what you have in your systems.