Here is an exercise that's worth doing as it illustrates a basic principle:
Take a sponge and saturate it with water. Wring out maybe half the water. Drip a few mL of household ammonia (maybe 2.5 - 3% ammonia) onto one end of the sponge and seal it in an airtight jar. After awhile the water in the sponge will be uniformly basic. The OH- will migrate through the water in the sponge because it's seeking equilibrium. The migration will stop when there's no part of the sponge with a lower OH- concentration in the water than any other part of the sponge.
Thinking about this ... in this case there's not really an equibrium involved, it's just entropy i think