We have this expression:
[tex](-3y^2-7y-9)-(4y^2+6y+9)[/tex]
So let's solve this problem step by step. We need to order this expression. The way we choose is to match equal variables with equal exponents.
So combining like terms we have:
[tex](-3y^2-7y-9)-(4y^2+6y+9)[/tex]
Applying distributive property in the second parenthesis:
[tex]-3y^2-7y-9-4y^2-6y-9[/tex]
Grouping terms:
[tex](-3y^2-4y^2)+(-7y-6y)+(-9-9)[/tex]
Finally, adding and subtracting algebraic expressions:
[tex]\boxed{-7y^2-13y-18}[/tex]
D. That is the correct answer