pushing weight 

to distribute large amounts of narcotics.

nigga got a S500, he must be pushing weight.

pushing weight by ep June 12, 2003

Pushing Weight 

Usually written in standard English as "Pushin' Weight," this phrase was popularised by Ice Cube (the great) who proclaimed that "Yeah Yeaaaaah-" he in fact "pushed rhymes like weight."

The phrase, a combination of the two root words, "Push" and, well..."weight," is a milestone in urban language. The former is an American slang term most commonly used to refer to the action of dealing (e.g. drugs) in a semi-forceful way. The latter word of the phrase is defined throughout this glorious site as cocaine, which as Rick James informed us, is "a hell of a drug" (see also "blow", "yaio".)

"Yeah Yeah

I push Rhymes like Weight
I push Rhymes like Weight"
(4X)

Taken from: "Pushin Weight" by Ice Cube (again, the slang form of Pushing Weight)

Pushing Weight by D.A.D. September 12, 2006