Alley between episode 3 & 4-8 has an issue of continuity, so Alley has an explanation in Episode 9.
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The explanation was that after 20 days of living in her apartment, the septic tank had exploded resulting in her having to return to her mother's house.
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Her singing career isn't totally demanding, allowing lots of freedom and an extra job she doesn't need.
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Her mom also returns to the house, which is why she is there in some episodes.