To find the Greatest Common Factor (GCF) of -45y^2 + 40y, we first need to identify common factors for each term.
The factors of -45y^2 are: -1, 1, -3, 3, -5, 5, -9, 9, -15, 15, -45, 45, -y, y, -y^2, and y^2.
The factors of 40y are: -1, 1, -2, 2, -4, 4, -5, 5, -8, 8, -10, 10, -20, 20, -40, 40, -y, and y.
The common factors for both terms are: -1, 1, -5, 5, -y, and y.
Therefore, the greatest common factor is 5y.
Now, to factor out the GCF from -45y^2 + 40y:
-45y^2 + 40y
= 5y(-9y + 8)
Therefore, -45y^2 + 40y factors to 5y(-9y + 8).
Find the GCF and then factor
-45y^2+40y
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