Click to listen to Columbia University's neuroscientist Dr. Kevin Ochsner talking about emotion regulation. (The interview is a part of a Yale interview series.) Among other topics, he talks about reappraisal and reframing, generating emotions, and using cognitive control. One of the processes he studies is using high-level thoughts to adjust the amygdala response; he explains in this interview.
I am glad to hear that he recommends emabracing the complexity because nothing about the brain can be reduced to sound bites!
While you are at the link, listen to many other interviews in the series Experts in Emotion, including James Gross, Lisa Feldman Barrett, and Roy Baumeister.