Are these interchangeable? What is the difference in use?
I will do it to the same extent as you do.
I will do it as much as you do.
I will do it to an equal degree as you.
I will do it in the same way as you.
etc.
The first 3 versions mean pretty much the same, but would probably be better expressed as
I will do the same amount [of it] as you.
In most cases the "of it" is optional. "do" could be replaced with a more specific verb to clarify. For example
I will eat the same amount of it as you.
I will pay the same amount as you.
I will run the same distance as you.
The 4th version has a different meaning
I will perform the action the same way you do it.
but says nothing as to how much you will do compared to the other person.