Disclosed is a low profile, adjustable, soft close hinge comprised of a hinge cup pivotally connected to a hinge body via a hinge arm and a hinge link in a four-bar linkage arrangement. A spring biases the hinge to a closed position. The hinge body is adjustably connected to an inner frame with an overlay adjustment screw and depth adjustment cam. The inner frame releasably connects the hinge body to a mounting plate. A stop bracket is adjustably and slidably connected to the hinge body by a helical cam. The adjustable position of the stop bracket relative to the hinge body determines the point at which the damping functionality of a damper begins during a hinge closing movement. A linkage sub-assembly pivotally connects the damper to the hinge link.