What is the solution of 3(y - 2) + 4(y - 3) = 5y + 14 - 4(y - 8)?
- 29/3
- 41/3
- 32/3
- None of these
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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