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Dustin solved this equation:\newline6.6(2y4)=y26.6(2y - 4) = y - 2\newline13.2y26.4=y213.2y - 26.4 = y - 2\newline12.2y26.4=212.2y - 26.4 = -2\newline12.2y=24.412.2y = 24.4\newliney=2y = 2\newlineWhich property is not needed to justify any of the steps?\newlineChoices:\newline(A) division property of equality\newline(B) commutative property of multiplication\newline(C) addition property of equality\newline(D) distributive property

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Q. Dustin solved this equation:\newline6.6(2y4)=y26.6(2y - 4) = y - 2\newline13.2y26.4=y213.2y - 26.4 = y - 2\newline12.2y26.4=212.2y - 26.4 = -2\newline12.2y=24.412.2y = 24.4\newliney=2y = 2\newlineWhich property is not needed to justify any of the steps?\newlineChoices:\newline(A) division property of equality\newline(B) commutative property of multiplication\newline(C) addition property of equality\newline(D) distributive property
  1. Expand Equation: Expand the equation using the distributive property.\newlineCalculation: 6.6(2y4)=6.6×2y6.6×4=13.2y26.46.6(2y - 4) = 6.6\times 2y - 6.6\times 4 = 13.2y - 26.4
  2. Simplify Equation: Simplify the equation by subtracting yy from both sides.\newlineCalculation: 13.2y26.4=y213.2yy=2+26.412.2y=24.413.2y - 26.4 = y - 2 \rightarrow 13.2y - y = -2 + 26.4 \rightarrow 12.2y = 24.4
  3. Solve for y: Solve for y by dividing both sides by 12.212.2.\newlineCalculation: 12.2y=24.4y=24.412.2y=212.2y = 24.4 \rightarrow y = \frac{24.4}{12.2} \rightarrow y = 2