The first step for solving this expression is to distribute -y through the parenthesis. 3y³ - 2y × (4y - y² + 3y) - (2y × (y + 1) - 3y × (y² - 1)) Distribute 2y through the parenthesis. 3y³ - 2y × (4y - y² + 3y) - (2y² + 2y - 3y × (y² - 1)) Now distribute -3y through the parenthesis. 3y³ - 2y × (4y - y² + 3y) - (2y² + 2y - 3y³ + 3y) Collect the like terms in the first set of the parenthesis. 3y³ - 2y × (7y - y²) - (2y² + 2y - 3y³ + 3y) Collect the like terms in the second set of the parenthesis. 3y³ - 2y × (7y - y²) - (2y² + 5y - 3y³) Distribute -2y through the parenthesis. 3y³ - 14y² + 2y³ - (2y² + 5y - 3y³) Remember that when there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This will change the expression to the following: 3y³ - 14y² + 2y³ - 2y² - 5y + 3y³ Collect the like terms with an exponent of 3. 8y³ - 14y² - 2y² - 5y Lastly,, collect like terms that have an exponent of 2. 8y³ - 16y² - 5y Since we cannot simplify the expression any further,, the correct answer is going to be 8y³ - 16y² - 5y. Let me know if you have any further questions. :)