Wall insulation is required in news homes but is rarely found in older homes. Brick cavity and brick veneer walls offer only relatively low levels of insulation from the external environment.
Wall cavities can have insulation retrofitted by companies such as:
In addition or as an alternative use Thermilate paint additive internally/externally on walls.
Reduce the heat load on your home by ensuring western facing walls are protected from the sun either by shade structures or vegetation.