Use the expansion shown to simplify the expression.
One-half (3 x minus two-thirds y) + 3 (StartFraction x over 2 EndFraction + one-half y)
Equals (one-half) (StartFraction 3 over 1 EndFraction x) + (one-half) (Negative two-thirds y) + (StartFraction 3 over 1 EndFraction) (one-half x) + (StartFraction 3 over 1 EndFraction) (one-half y)
Equals (three-halves x) + (negative one-third y) + (three-halves x) + (three-halves y)
= 3x + y
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