Let's simplify the equation step by step.
First, let's expand the expression (3x^3y^2) - (2x^3y + 6xy - y):
= 3x^3y^2 - 2x^3y - 6xy + y
Now, let's group similar terms together:
= (3x^3y^2 - 2x^3y) + (-6xy + y)
Next, we can factor out common terms from each group:
= x^3y(3y - 2) + y(-6x + 1)
Finally, we can rearrange the terms:
= x^3y(3y - 2) - y(6x - 1)
This is the simplified form of the given expression: x^3y(3y - 2) - y(6x - 1).
