NB: "West" is less a term of hemispheric fidelity (Australia and New Zealand are typically seen as "western" countries, despite being in the eastern hemisphere), than it is of cultural derivation (on which Brazil has additional claims, via Portugal), and far more prominently, geopolitical and industrial significance, focusing on the industrial, colonial, and financial powers of the world, largely the US, western Europe (a large portion of which is ... in the eastern hemisphere), AU and NZ as mentioned, and arguably Japan.
The term is often used to avoid (or sometimes conflate) what have become problematic and/or obsolte terms, including colonial empires, advanced vs. undeveloped countries, NATO vs. Soviet Bloc states, or the similarly cardinal-directed "Global North" vs. "Global South".
Pedantry on the point (my own included) isn't particularly illuminating or interesting.
That's ... somewhat freighted as well (less in the positive than the implied negative framing).
"G-n", where n is typically in the range of 6--20, and most canonically refers to the G7 nations of Canada, France, Germany, Italy, Japan, the United Kingdom and the United States, is another formulation, though that omits Australia (reasonably significant) and NZ (a small country, though quite "western" in a cultural sense). Other significant exclusions are of course China, as well as South Korea, any South American states (Mexico and Brazil would be the most likely candidates), as well as numerous European states which aren't as dominant but are still internationally significant commercially and politically, though those last can claim some inclusion under the EU, the "non-enumerated member".