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That's just plain memorization; -ая forms become -ую in accusative.

I suck at the English subjunctive too. In fact, I even made a thread about it a couple days ago.

Hey ctarychek,

You are absolutely right about adjectives changing to reflect the case of the noun they modify. For example:

Я вижу девушку
Я вижу красивую девушку

I can't think of any...