Let's first distribute the multiplication on both sides of the equation:

83 + 5y - 15 = 24y - 27

Combine like terms:

68 + 5y = 24y - 27

Subtract 5y from both sides:

68 = 19y - 27

Add 27 to both sides:

95 = 19y

Divide by 19:

y = 5

Therefore, the solution to the equation is y = 5.