To solve the expression 2y²(6y-1)+3y(y-4y²), start by simplifying each term within the expression.
First, let's distribute the 2y² to the terms within the parentheses: 2y²(6y-1) = 12y³ - 2y²
Next, let's distribute the 3y to the terms within the parentheses: 3y(y-4y²) = 3y² - 12y³
Now, we can combine the like terms: (12y³ - 2y²) + (3y² - 12y³) = 12y³ - 2y² + 3y² - 12y³
Combining the like terms, we get: 12y³ - 12y³ - 2y² + 3y² = -2y² + 3y²
Simplifying further, we have: -2y² + 3y² = y²
Therefore, 2y²(6y-1)+3y(y-4y²) simplifies to y².
