generally — usually; commonly; ordinarily: He generally comes home at noon.
impulsively — actuated or swayed by emotional or involuntary impulses: an impulsive child.
spontaneously — coming or resulting from a natural impulse or tendency; without effort or premeditation; natural and unconstrained; unplanned: a spontaneous burst of applause.
unintentionally — not intentional or deliberate: an unintentional omission from the list.
broadly — You can use broadly to indicate that something is generally true.
vaguely — not clearly or explicitly stated or expressed: vague promises.