What is the solution of 3(y - 2) + 4(y - 3) = 5y + 14 - 4(y - 8)?

Maths / Basic Math — Multiple-choice practice

  1. A. 32/3
  2. B. None of these
  3. C. 41/3
  4. D. 29/3

Correct answer

32/3

Explanation

Explanation Let's solve the equation step by step: 3(y - 2) + 4(y - 3) = 5y + 14 - 4(y - 8) Expanding the equation: 3y - 6 + 4y - 12 = 5y + 14 - 4y + 32 Combine like terms: 7y - 18 = y + 46 Subtract y from both sides: 6y - 18 = 46 Add 18 to both sides: 6y = 64 Divide by 6: y = 64 / 6 y = 32 / 3

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