Zero. There is no term with just y in it.
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(7y - 5)(y + 1)
That factors to y(y2 + 7y - 5)
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
It is 5200300.
Yes, but only when the coefficient of y is 1. For example if the equation of the line is 3y = 2x + 5, then the slope is not 2. The equation has to be re-written as y = 2/3*x + 5/3 whence the slope IS 2/3