A novel soybean variety, designated BG4184Y is provided. Also provided are the seeds of soybean variety BG4184Y, cells from soybean variety BG4184Y, plants of soybean BG4184Y, and plant parts of soybean variety BG4184Y. Methods provided include producing a soybean plant by crossing soybean variety BG4184Y with another soybean plant, methods for introgressing a transgenic trait, a mutant trait, and/or a native trait into soybean variety BG4184Y, methods for producing other soybean varieties or plant parts derived from soybean variety BG4184Y, and methods of characterizing soybean variety BG4184Y. Soybean seed, cells, plants, germplasm, breeding lines, varieties, and plant parts produced by these methods and/or derived from soybean variety BG4184Y are further provided.