You can't; the odds of finding a Shiny Pokémon are 8192 to 1, in most cases. But they weren't introduced until Generation II, so having one on Yellow is impossible.
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When I was playing Pokemon pearl a women in a house told me that the shiny pikachu is yellow.
you start with a pikachu.................
You can use an action replay code for make all Pokemon shiny.
Pikachu learns Thunderbolt at lvl 26 in Pokemon Yellow.
cos he IS!:)