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.
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.