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Let's start by simplifying the given expression using the Distributive Property. Remember, we want our final expression to be in standard form.
Note that there is only one variable, $y.$ Also, the exponents are nonnegative integers, and there are no variables in denominators. Therefore, the expression is a polynomial in one variable. Now, let's identify the leading coefficient and the degree.
$-6y_{2}+7y+20 $
The leading coefficient is the first coefficient when the polynomial is arranged with descending exponents. Here, the leading coefficient of our polynomial is $-6.$ The degree of a polynomial is the value of the greatest exponent, which in our case is $2.$ A degree of $2$ means that it is a *quadratic* polynomial.

$(5−2y)(4+3y)$

DistrDistribute $(4+3y)$

$5(4+3y)−2y(4+3y)$

$20+7y−6y_{2}$

CommutativePropAddCommutative Property of Addition

$-6y_{2}+7y+20$