Final answer:
To simplify the expression 12x+y−32xy+8y in its most simplified, factored form, we can first group the terms with common factors and then factoring out the common factors.
Step-by-step explanation:
To simplify the expression 12x+y−32xy+8y in its most simplified, factored form, we can first group the terms with common factors and then factor out the common factors. Rearranging the terms, we have:
(12x-32xy) + (y+8y)
Factoring out the common factors:
4x(3-8y) + y(1+8)
Further simplifying:
4x(3-8y) + 9y
So, the expression in its most simplified, factored form is 4x(3-8y) + 9y.