Is Socialism Democracy, itself?

    Some would say socialism is democracy, itself.
    The community (the voting public) takes ownership of the decisions under democracy, and the members of the community are equal. Is not this the very basis of socialism? And, of democracy?
   So, are socialism and democracy one and the same thing? They can share the same principle: Let the people make the decisions.
   So, socialism is democracy, itself. It depends on the definition, but that argument can be made.
   Pause for just a moment, now. While people making all the economic decisions might be the theory behind one of the forms of socialism, has this ever actually ever been practiced? Has ever any country actually turned the decisions of the economy over to the people? Has ever a nation existed where the people actually ran all the businesses -- co-ops all?
   (Note: One sentence added 12/23/18)