Cross of Brown X Blue is not going to give precisely the same result as crossing Blue X Brown. Reciprocal crosses are affected by the W/Z chromosomes as some of the genes in the porphyrin biopath are on the sex chromosomes.
That said, you can still generalize that crossing a blue egg layer X a brown egg layer and carrying forward to the F2, 1 in 16 will lay white eggs, 3 in 16 will lay some shade of brown egg, 1 in 16 will lay some form of blue egg (caused by recombination of the blue and white genes where the white gene disables the porphyrin biopath), and 11 in 16 will lay some form of egg carrying the blue egg gene with varying overlay of porphyrin producing olive green, teal, spearmint green, tan green, or other slightly nuanced color on top of the blue egg shell.
Moonshiner is partially correct that it is very difficult to recover blue egg layers from crosses with brown egg layers, however, it can be done if you raise enough birds and have enough generations to select. Note from the above that 1 in 16 will lay blue eggs. This means you have to raise 32 chicks (half male, half female) to find one female that lays blue eggs. Even then, she may have only one copy of the blue egg gene as it is dominant. Remember that blue eggs are from a combination of white egg base color with the oocyanin gene. To give a comparison, after eliminating all brown egg layers from my flock, I have about 16 hens currently laying of which 2 lay blue eggs. I did a lot of culling to find those two blue egg layers. The blue egg layers have flaws in terms of feather color and/or type. I have to keep breeding to eventually stabilize silver laced blue egg layers.