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4y^{2}-\left(2y^{2}-3y-9\right)
Use the distributive property to multiply 2y+3 by y-3 and combine like terms.
4y^{2}-2y^{2}+3y+9
To find the opposite of 2y^{2}-3y-9, find the opposite of each term.
2y^{2}+3y+9
Combine 4y^{2} and -2y^{2} to get 2y^{2}.
4y^{2}-\left(2y^{2}-3y-9\right)
Use the distributive property to multiply 2y+3 by y-3 and combine like terms.
4y^{2}-2y^{2}+3y+9
To find the opposite of 2y^{2}-3y-9, find the opposite of each term.
2y^{2}+3y+9
Combine 4y^{2} and -2y^{2} to get 2y^{2}.