Evaluate
y^{2}-5y+\frac{21}{4}
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y^{2}-5y+\frac{21}{4}
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y^{2}+y\left(-\frac{3}{2}\right)-\frac{7}{2}y-\frac{7}{2}\left(-\frac{3}{2}\right)
Apply the distributive property by multiplying each term of y-\frac{7}{2} by each term of y-\frac{3}{2}.
y^{2}-5y-\frac{7}{2}\left(-\frac{3}{2}\right)
Combine y\left(-\frac{3}{2}\right) and -\frac{7}{2}y to get -5y.
y^{2}-5y+\frac{-7\left(-3\right)}{2\times 2}
Multiply -\frac{7}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}-5y+\frac{21}{4}
Do the multiplications in the fraction \frac{-7\left(-3\right)}{2\times 2}.
y^{2}+y\left(-\frac{3}{2}\right)-\frac{7}{2}y-\frac{7}{2}\left(-\frac{3}{2}\right)
Apply the distributive property by multiplying each term of y-\frac{7}{2} by each term of y-\frac{3}{2}.
y^{2}-5y-\frac{7}{2}\left(-\frac{3}{2}\right)
Combine y\left(-\frac{3}{2}\right) and -\frac{7}{2}y to get -5y.
y^{2}-5y+\frac{-7\left(-3\right)}{2\times 2}
Multiply -\frac{7}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
y^{2}-5y+\frac{21}{4}
Do the multiplications in the fraction \frac{-7\left(-3\right)}{2\times 2}.
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