Consider the quadratic function $y=ax^2+bx+c,$ where $$a$$, $$b$$ and $$c$$ are constants. If $$y$$ has a maximum value of $$54$$, and the graph of $$y$$ passes through the two points $$(-2, 0)$$ and $$(4, 0),$$ what is the value of $$a+b+c?$$