To solve this equation, we will first distribute the -3 and -2 on the left side of the equation and the right side to eliminate the parentheses:

8y - 3(2y) + 3(3) = 7y - 2(5y) - 2(8)

Now simplify the equation:

8y - 6y + 9 = 7y - 10y - 16

Combine like terms on both sides:

2y + 9 = -3y - 16

Add 3y to both sides:

2y + 3y + 9 = -3y + 3y - 16

5y + 9 = -16

Subtract 9 from both sides:

5y + 9 - 9 = -16 - 9

5y = -25

Divide by 5 on both sides:

5y / 5 = -25 / 5

y = -5

Therefore, the solution to the equation 8y - 3(2y-3) = 7y - 2(5y+8) is y = -5.