Answer:
[tex]3y^{2}+2y-11[/tex]
Step-by-step explanation:
we have
[tex](-y^{2}-4y-8)-(-4y^{2}-6y+3)[/tex]
Eliminate the parenthesis
[tex]-y^{2}-4y-8+4y^{2}+6y-3[/tex]
Group terms that contain the same variable
[tex]-y^{2}+4y^{2}-4y+6y-8-3[/tex]
Combine like terms
[tex]3y^{2}+2y-11[/tex]