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3^{2}-\left(4y\right)^{2}-\left(3+4y\right)
Consider \left(3-4y\right)\left(3+4y\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
9-\left(4y\right)^{2}-\left(3+4y\right)
Calculate 3 to the power of 2 and get 9.
9-4^{2}y^{2}-\left(3+4y\right)
Expand \left(4y\right)^{2}.
9-16y^{2}-\left(3+4y\right)
Calculate 4 to the power of 2 and get 16.
9-16y^{2}-3-4y
To find the opposite of 3+4y, find the opposite of each term.
6-16y^{2}-4y
Subtract 3 from 9 to get 6.
3^{2}-\left(4y\right)^{2}-\left(3+4y\right)
Consider \left(3-4y\right)\left(3+4y\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
9-\left(4y\right)^{2}-\left(3+4y\right)
Calculate 3 to the power of 2 and get 9.
9-4^{2}y^{2}-\left(3+4y\right)
Expand \left(4y\right)^{2}.
9-16y^{2}-\left(3+4y\right)
Calculate 4 to the power of 2 and get 16.
9-16y^{2}-3-4y
To find the opposite of 3+4y, find the opposite of each term.
6-16y^{2}-4y
Subtract 3 from 9 to get 6.