Link precomp parameter to main comp slider/checkbox

Hi guys!

I'd like to know if it's possible to link a parameter in a precomp to a slider/checkbox, depending on the Precomp layer in the Main Comp.

Here's the point: I have a Precomp with a simple animation in it. This Precomp is duplicated in my MainComp several times. I would like to make visible or not (with opacity) a layer in my Precomp just with a slider/checkbox on each Precomp layer in MainComp.

This is just to keep the animation identical while changing colors and improve my workflow. Precomp is duplicated a loooooot of times.

I know I can link it to Layer name or index, but this isn't the solution in my case.

Is there something like ".parent", for example?

(I hope i've been clear. It's a bit difficult to explain while English is not my mother tongue.)