Evaluate
y^{2}+2y+\frac{3}{4}
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y^{2}+2y+\frac{3}{4}
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y^{2}+y\times \frac{3}{2}+\frac{1}{2}y+\frac{1}{2}\times \frac{3}{2}
Apply the distributive property by multiplying each term of y+\frac{1}{2} by each term of y+\frac{3}{2}.
y^{2}+2y+\frac{1}{2}\times \frac{3}{2}
Combine y\times \frac{3}{2} and \frac{1}{2}y to get 2y.
y^{2}+2y+\frac{1\times 3}{2\times 2}
Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}+2y+\frac{3}{4}
Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.
y^{2}+y\times \frac{3}{2}+\frac{1}{2}y+\frac{1}{2}\times \frac{3}{2}
Apply the distributive property by multiplying each term of y+\frac{1}{2} by each term of y+\frac{3}{2}.
y^{2}+2y+\frac{1}{2}\times \frac{3}{2}
Combine y\times \frac{3}{2} and \frac{1}{2}y to get 2y.
y^{2}+2y+\frac{1\times 3}{2\times 2}
Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}+2y+\frac{3}{4}
Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.
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