This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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ad. With a great weight or burden: heavily laden.

ad. Very slowly and with difficulty; laboriously: walking heavily through the snow.

ad. Greatly or severely: heavily in debt.

ad. in a heavy manner

ad. with a great weight

ad. to a considerable degree, to a great extent

ad. in a manner designed for heavy duty

ad. so as to be thick or heavy

ad. in a laboured manner

ad. In a heavy manner; with great weight

ad. As if burdened with a great weight; slowly and laboriously; with difficulty; hence, in a slow, difficult, or suffering manner; sorrowfully.

ad. Greatly; intensely.

ad. In large quantity.

In a heavy manner; with great weight or burden.

Hence With oppression or difficulty; grievously; dejectedly; tediously.

Densely; thickly: as, heavily bearded; heavily timbered.

ad. in a heavy-footed manner

ad. slowly as if burdened by much weight

ad. in a manner designed for heavy duty

ad. in a labored manner

ad. indulging excessively

ad. with great force

ad. to a considerable degree

"I think it’s also worth mentioning that the “men shop for power tools and women shop for curtains” phenomenon is something that is, if not outright created, heavily, *heavily* influenced by our society."

sorrowfully    greatly    intensely