、。
Her expensive tastes made it impossible for her to live within her income.
Literal
Luxurious [attributive-な] hobby [for-のため], she [topic-は] income [possessive-の] range [locative-内で] go-along [possessive-の] subject-[topic-(omitted)] not-able-was.
A more formal past-tense statement. 贅沢な趣味 ('luxurious hobby/tastes') uses 趣味 in its broader sense of 'tastes, preferences' rather than just 'hobby'. ~のため ('because of X, for the sake of X') expresses causation. 収入の範囲内で ('within the range of income') is a set business/finance phrase. やっていく ('to carry on, manage to live') uses the directional ~ていく to express continuation.