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Which expression is equivalent to the expression below?

9y+9z+y+y+y+y+y

14 y+9z

4y+9z

13 y

23 y

Which expression is equivalent to the expression below?\newline9y+9z+y+y+y+y+y 9 y+9 z+y+y+y+y+y \newline14y+9z 14 y+9 z \newline4y+9z 4 y+9 z \newline13y 13 y \newline23y 23 y

Full solution

Q. Which expression is equivalent to the expression below?\newline9y+9z+y+y+y+y+y 9 y+9 z+y+y+y+y+y \newline14y+9z 14 y+9 z \newline4y+9z 4 y+9 z \newline13y 13 y \newline23y 23 y
  1. Combine like terms with yy: Combine the like terms that involve yy.9y+y+y+y+y+y=9y+5y9y + y + y + y + y + y = 9y + 5y
  2. Add coefficients of y: Add the coefficients of y together. 9y+5y=14y9y + 5y = 14y
  3. Combine terms with y and z: Combine the term with z to the sum of terms with y. 14y+9z14y + 9z
  4. Check for matching options: Check if any of the given options match the simplified expression.\newlineThe expression 14y+9z14y + 9z matches one of the given options.

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