Synonyms for Bring down:

n.

demonstrate, defect, dislodge, boycott, blacklist, foment, chase, agitate, destabilize. halve, shrivel, minimize, erode, slay, top-slice, decrease. hurt, slip, wound, injure, plummet, go down, descend, oust, lose your balance/footing, fall, plunge. bring down (noun)
inflict, lower, let down, trim, take down, subvert, impose, cut down, cut back, visit, cut, get down, trim down, land, reduce, overthrow, overturn, trim back.

v.

motion (verb)
let down, lower, take down, get down.
reduce or hurt (verb)
lower, overturn, overthrow, injure, slay, wound, cut down.

Other synonyms:

boycott, destabilize, chase, blacklist, foment, oust, agitate. dislodge, defect, demonstrate. flip over
overturn.
get down
get down.
Other relevant words:
fall, wound, minimize, slay, decrease, injure, oust, descend.