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I'm going to assume you mean yarimasu instead of arimasu. Arimasu comes from aru (to be). ある -> あり -> あります やる yaru conjugates to やります yarimasu. やあります in romaji is yaarimasu, which would be stretching the "a" sound for no reason. Masu-form conjugation simply involves changing the u hiragana to its i counterpart and then adding masu for godan verbs (yaru -> ...
Grammatically speaking, やあります is just plain wrong. It never conjugates to やあります. Such a spelling may be used when someone said やります with a strange intonation (like "I wiiil dooo it"), but it should be rare.
"～しに行く" = the 連用形(continuative form) of a verb + に行く and it means "go ～ing", so 見に行く = 見 (the 連用形 of 見る) + に行く. The "には" of "the 連体形(attributive form) of a verb + には" is used for the object of the action. For example, 車が走るには、ガソリンが必要です.
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