1: Subtract: **(-4y ^{2}-3y+8) – (2y^{2}-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!

y^{2} terms get combined with y^{2} 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:

**(-4y ^{2}-3y+8) – (2y^{2}-6y+2)**

How many total **y ^{2}** terms do you have? -4

**y**= -6

^{2}– 2y^{2}**y**

^{2}How many total **y** terms do you have? -3**y**** – -6y **= -3**y**+6y = 3**y**

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:

**(-4y ^{2}-3y+8) – (2y^{2}-6y+2) = -6y^{2 }**+ 3

**y**+

**6**