1:  Subtract: (-4y²-3y+8) – (2y²-6y+2)

A:  Here we are just asked to clean things up and combine like terms: basically, add apples with apples and oranges with oranges, but don’t accidentally add apples with oranges!

y² terms get combined with y² terms
y terms get combined with y terms
constants (lone numbers) get combined with constants

So, let’s use color to highlight the like terms:

(-4y²-3y+8) – (2y²-6y+2)

How many total y² terms do you have? -4y² – 2y² = -6y²

How many total y terms do you have? -3y – -6y = -3y+6y = 3y

How many total constant terms do you have? 8 – +2 = 8 – 2 = 6

Did we forget anyone?  Did anyone not have a match that we need to bring along?  Nope! Everyone from both sets of parentheses is accounted for!

So, final answer:

(-4y²-3y+8) – (2y²-6y+2) = -6y² + 3y + 6