Question

simplify: $(6x^2y^2 - 2xy^2 - 2y) - (-18x^2y^2 + 4xy^2 - 2y)$
place the correct coefficients in the blanks:
\boxed{} $x^2y^2$ + \boxed{} $xy^2$ + \boxed{} $y$

Explanation:

Step1: Distribute the negative sign

$5x^2y^3 - 2xy^2 - 3y + 3x^2y^3 - 6xy^2 + 2y$

Step2: Combine like $x^2y^3$ terms

$5x^2y^3 + 3x^2y^3 = 8x^2y^3$

Step3: Combine like $xy^2$ terms

$-2xy^2 - 6xy^2 = -8xy^2$

Step4: Combine like $y$ terms

$-3y + 2y = -1y$

Answer:

$8x^2y^3 - 8xy^2 - 1y$
(The blanks fill in as: 8, -8, -1)