another question I'd appreciate someone looking over is this one...

(-7y-4)+(-9y^2+5y+7)-(-5y^2-7y-4)

=14y^2+19y+7

is that right?

not quite

(-7y-4)+(-9y^2+5y+7)-(-5y^2-7y-4)
= -7y - 4 - 9y^2 + 5y + 7 + 5y^2 + 7y + 4
= -4y^2 + 5y + 7