Note that you can always add 0 by including 4 - 4, or 1 by including 4/4.
Some possible answers are
(-4/4) - (4/4) = -1 - 1 = -2
(4 + 4 - 4)/(-4) = 4/(-4) = -1
(4 - 4) + (4 - 4) = 0 + 0 = 0
(4 + 4 - 4)/4 = 4/4 = 1
(4/4) + (4/4) = 1 + 1 = 2
(4 + 4 + 4)/4 = 12/4 = 3
4 + (4 - 4)/4 = 4 + 0 = 4