(2y - 1) 4y - 3)

1. -2y + 3
2. 8y^2 - 10y -3
3. 8y^2 - 10y + 3
4.8y^2 - 2y + 3

sorry

8y^2 - 10y + 3

No problem, the correct answer is 3. 8y^2 - 10y + 3.

To simplify the expression (2y - 1)(4y - 3), you need to distribute each term of the first expression to each term of the second expression.

First, distribute 2y to both terms in the second expression, giving you:

2y * 4y - 2y * 3

Which simplifies to:

8y^2 - 6y

Next, distribute -1 to both terms in the second expression:

-1 * 4y - (-1) * 3

Which simplifies to:

-4y + 3

Now, you can combine the two simplified terms:

8y^2 - 6y - 4y + 3

Finally, combine the like terms:

8y^2 - 10y + 3

So, the correct choice is option 2. 8y^2 - 10y - 3.

2. 8y^2 - 10y -3