Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms. What is a simpler form of the expression?
-3(-4y+3)+7y
To simplify the expression -3(-4y+3)+7y, we can start by distributing the -3 to the terms inside the parentheses:
-3 * -4y + (-3) * 3 + 7y
This simplifies to:
12y - 9 + 7y
Next, we can combine the like terms by adding the coefficients of the y terms:
12y + 7y - 9
This can be further simplified by combining the y terms:
19y - 9
So, the simplified form of the expression -3(-4y+3)+7y is 19y - 9.
To combine like terms, we need to distribute the -3 to both terms inside the parentheses:
-3 x -4y = 12y
-3 x 3 = -9
So, the expression -3(-4y+3) can be simplified to:
12y - 9 + 7y
Now, we can combine the like terms:
12y + 7y - 9
Adding the y terms:
(12y + 7y) - 9 = 19y - 9
Therefore, a simpler form of the expression -3(-4y+3)+7y is 19y - 9.