Fully expand and simplify

Using the distributive property:

(-9y + 6)(5y + 2)
= -9y(5y) - 9y(2) + 6(5y) + 6(2)
= -45y^2 - 18y + 30y + 12
= -45y^2 + 12y + 12

So, the fully expanded and simplified form of (-9y + 6)(5y + 2) is -45y^2 + 12y + 12.