How to delay an animation

Sorry for my bad english: i'll try to be clear.

Once a layer has some animation (position, scale etc),

how can i link another layer to this first one (or the animated property of the first one to the another equivalent one)

and make the second layer animation delay some number of frames?

Another situation:

same start point above, but, after duplicate that layer,

how to delay the animation time some frames?

Thanks for the attention