2y²(6y-1)+3y(y-4y²)

To simplify the expression 2y²(6y-1)+3y(y-4y²), you can start by using the distributive property.

First, distribute 2y² to each term inside the parentheses:

2y² * 6y - 2y² * 1

This becomes 12y³ - 2y².

Next, distribute 3y to each term inside the parentheses:

3y * y - 3y * 4y²

This becomes 3y² - 12y³.

Now we can combine the terms with the same exponent:

12y³ - 2y² + 3y² - 12y³

Combining like terms, we get:

(12y³ - 12y³) + (-2y² + 3y²)

Since the terms with y³ cancel each other out, we are left with:

-2y² + 3y²

This simplifies to:

y².