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Which expression is equivalent to 3(2y)3(2y)?\newlineChoices:\newline(A) y+5y + 5\newline(B) 6y6y\newline(C) 2y+32y + 3\newline(D) y+6y + 6

Full solution

Q. Which expression is equivalent to 3(2y)3(2y)?\newlineChoices:\newline(A) y+5y + 5\newline(B) 6y6y\newline(C) 2y+32y + 3\newline(D) y+6y + 6
  1. Distribute 33: Distribute the 33 across the term inside the parentheses.\newlineWe need to multiply 33 by each term inside the parentheses. Since there is only one term, 2y2y, we multiply 33 by 2y2y.\newline3×2y=6y3 \times 2y = 6y
  2. Multiply by 2y2y: Compare the result with the given choices.\newlineWe have found that 3(2y)3(2y) simplifies to 6y6y. Now we need to see which choice matches our result.\newline(A) y+5y + 5 is not equal to 6y6y.\newline(B) 6y6y is exactly what we found.\newline(C) 2y+32y + 3 is not equal to 6y6y.\newline(D) y+6y + 6 is not equal to 6y6y.

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