If I have an 8" wide brick wall that weighs 80psf...?

I'm not surprised you're puzzled here -- your units "psf" sound like pounds per square foot. This is a somewhat strange unit since density would be measured in pounds per cubic foot. All that one can assume is that the 8-inch width provides one of the length dimensions, and (height x length) provide the other two. In other words, the "square feet" are a measure of the facing area of the wall. In that case:

Weight = ( 80 lbs/ft^2 ) ( 44 ft ) ( H ft ) = (3250 H) pounds

So this would be a relation between weight and height, but until you specify one or the other that's about as far as we can go.

Look at a 12 in long section.

Volume = Length x width x height

V = 12 x 8 x h

for the wall (8/12 ft) (80 lb /sf) = 53.3 lb/ft3 = wall weight / volume

53.3 = w / 12 x 8 x h

all you need is the unit weight of the brick for w (ie 1 cu ft brick weighs w lbs) then solve for h

psf usually means pounds per square foot, a unit of pressure.

Do you mean pounds? pounds-force? The abbreviation is lbf.