Evaluate
-\frac{7x}{2}+y+\frac{49}{4}
Expand
-\frac{7x}{2}+y+\frac{49}{4}
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y-\frac{7}{4}-\frac{7}{2}x-\frac{7}{2}\left(-4\right)
Use the distributive property to multiply -\frac{7}{2} by x-4.
y-\frac{7}{4}-\frac{7}{2}x+\frac{-7\left(-4\right)}{2}
Express -\frac{7}{2}\left(-4\right) as a single fraction.
y-\frac{7}{4}-\frac{7}{2}x+\frac{28}{2}
Multiply -7 and -4 to get 28.
y-\frac{7}{4}-\frac{7}{2}x+14
Divide 28 by 2 to get 14.
y-\frac{7}{4}-\frac{7}{2}x+\frac{56}{4}
Convert 14 to fraction \frac{56}{4}.
y+\frac{-7+56}{4}-\frac{7}{2}x
Since -\frac{7}{4} and \frac{56}{4} have the same denominator, add them by adding their numerators.
y+\frac{49}{4}-\frac{7}{2}x
Add -7 and 56 to get 49.
y-\frac{7}{4}-\frac{7}{2}x-\frac{7}{2}\left(-4\right)
Use the distributive property to multiply -\frac{7}{2} by x-4.
y-\frac{7}{4}-\frac{7}{2}x+\frac{-7\left(-4\right)}{2}
Express -\frac{7}{2}\left(-4\right) as a single fraction.
y-\frac{7}{4}-\frac{7}{2}x+\frac{28}{2}
Multiply -7 and -4 to get 28.
y-\frac{7}{4}-\frac{7}{2}x+14
Divide 28 by 2 to get 14.
y-\frac{7}{4}-\frac{7}{2}x+\frac{56}{4}
Convert 14 to fraction \frac{56}{4}.
y+\frac{-7+56}{4}-\frac{7}{2}x
Since -\frac{7}{4} and \frac{56}{4} have the same denominator, add them by adding their numerators.
y+\frac{49}{4}-\frac{7}{2}x
Add -7 and 56 to get 49.
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