Find each stud in the wall, using an electronic stud finder. Draw a pencil mark at the halfway point between each pair of studs. Put the mark approximately 6 inches below the ceiling.
Use a drill and hole saw to cut out holes at each mark. Save the plaster or drywall cut-out circles and set them aside. You should now be able to see the brick of the exterior of the house through the hole, with a space in front of it.
Fill the insulation blower with loose cellulose insulation. Slide the blower hose into one of the holes, all the way to the bottom of the wall cavity.
Start the blower and let it fill the wall cavity with insulation while slowly withdrawing the hose until the space is filled. Repeat this step for each of the spaces between each set of studs.
Press one of the cut-out circles that you saved in Step 2 into one of the holes. Press drywall tape over the borders of the circle. Spread patching plaster over the tape with your drywall knife so it's flat. Repeat this step for each hole.
Let the plaster set for eight hours. Apply a second layer of plaster. Let it set for 12 hours.
Lightly sand the plaster to get it smooth and flat. Repaint the wall.