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Select the expressions that are equivalent to 7y+y7y + y.\newlineMulti-select Choices:\newline(A) 8y8y\newline(B) 8y+y8y + y\newline(C) 4y+5y4y + 5y\newline(D) 3y+6y3y + 6y

Full solution

Q. Select the expressions that are equivalent to 7y+y7y + y.\newlineMulti-select Choices:\newline(A) 8y8y\newline(B) 8y+y8y + y\newline(C) 4y+5y4y + 5y\newline(D) 3y+6y3y + 6y
  1. Simplify Expression: Simplify the expression 7y+y7y + y to find its equivalent forms.\newlineCalculation: 7y+y=(7+1)y=8y7y + y = (7 + 1)y = 8y.
  2. Compare to Choices: Compare the simplified expression to the choices given.\newlineCalculation: 8y8y matches choice (A).
  3. Check Other Choices: Check if any other choices are equivalent to 8y8y.\newlineCalculation: \newline- (B) 8y+y=8y+1y=9y8y + y = 8y + 1y = 9y, not equivalent.\newline- (C) 4y+5y=(4+5)y=9y4y + 5y = (4 + 5)y = 9y, not equivalent.\newline- (D) 3y+6y=(3+6)y=9y3y + 6y = (3 + 6)y = 9y, not equivalent.

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