Tamagotchi's are a little bit different. I feel your pain though Neko, one cat I had for over 10 years died recently and before I could finish grieving for him, another passed within a week. One of age and the other from a blockage it would appear. I am sorry for your pain and wish you the best of luck. In times like these, we must be strong and think of the time spent with out beloved pets, remember them for what there were. Our friends, our loved ones, and don't forget that just because they passed, doesn't meant they are gone. Memories live on, thats all we have.
Be strong and don't let their memories die, hold them dear.