3(3y-3)-2(y+2)
Expanding the expression:
3(3y-3)-2(y+2) = 9y - 9 - 2y - 4
Combining like terms:
= (9y - 2y) + (-9 - 4)
= 7y - 13
To simplify the expression 3(3y-3)-2(y+2), we will first apply the distributive property.
(3 * 3y) + (3 * -3) - (2 * y) - (2 * 2)
This gives us:
9y - 9 - 2y - 4
Next, we can combine like terms:
(9y - 2y) + (-9 - 4)
This simplifies to:
7y - 13
So the simplified expression is 7y - 13.
To simplify the expression 3(3y - 3) - 2(y + 2), you need to follow the order of operations. Here's how:
Step 1: Distribute the multiplication.
Start by multiplying 3 with each term inside the first parentheses (3y - 3):
3 * 3y = 9y
3 * -3 = -9
Now the expression becomes: 9y - 9 - 2(y + 2)
Step 2: Distribute the multiplication.
Next, multiply -2 with each term inside the second parentheses (y + 2):
-2 * y = -2y
-2 * 2 = -4
The expression now becomes: 9y - 9 - 2y - 4
Step 3: Combine like terms.
Now, simplify by combining the terms with the same variable:
(9y - 2y) - (9 + 4) = 7y - 13
So, the simplified expression is 7y - 13.