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y^{2}-4y+15
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y^{2}-4y+15
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y^{2}+2y+1-2\left(3y-7\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+1\right)^{2}.
y^{2}+2y+1-6y+14
Use the distributive property to multiply -2 by 3y-7.
y^{2}-4y+1+14
Combine 2y and -6y to get -4y.
y^{2}-4y+15
Add 1 and 14 to get 15.
y^{2}+2y+1-2\left(3y-7\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+1\right)^{2}.
y^{2}+2y+1-6y+14
Use the distributive property to multiply -2 by 3y-7.
y^{2}-4y+1+14
Combine 2y and -6y to get -4y.
y^{2}-4y+15
Add 1 and 14 to get 15.
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Limits
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