Now starting from scratch, what we know from Newton's 2nd law is given below:-
$$\vec{F}_{net}=m\vec{a}_{net}$$
When we push the wall the forces acting on it are:- 1) Friction in opposite direction of your push. 2)Your pushing force. 3)Normal reaction from earth. 4)Weight. 5)Downward normal reaction from ceiling. As,
$$\vec{a}_{net}=0$$
$$\vec{f} +\vec{N}_{e}+m\vec{g} +\vec{N}_{c}+\vec{F}_{you}=0$$
I think these two equations in itself describes the whole mechanics of the problem.
Hope this helps!