Calculating the moment along a statically indeterminate beam

[mechengineer13]

Homework Statement

How could I calculate the piecewise formula for M(x)?

Homework Equations

The Attempt at a Solution

From constructing a free body diagram it looks like up until the pin support, M(x) = -Fy*x (Fy being the force pointing upwards at the wall) but I am confused about how to handle the moment at the end in this calculation. Unfortunately the course I am taking assumes I already know how to do this, so I don't have a textbook or anything to rely on.
Thanks for any help you can give me.

 

[SteamKing]

Think about what the moment diagram looks like at the RHS of the beam with M0 applied there.

In these types of problems, it helps to draw a free body diagram and put in all of the reactions and moments which occur at the supports.