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