Y2 + 4y + 7

(-) 4y² + 3y - 2

If the equation was intended to be written as:

(y² + 4y + 7) - (4y² + 3y - 2)

Then the answer is:

-3y² + y + 9

Step-by-step explanation:

Original equation:

(y² + 4y + 7) - (4y² + 3y - 2)

The minus sign must be distributed through the terms within the parenthesis. Thus - (4y² + 3y - 2) becomes - 4y² - 3y + 2 and the parenthesis is no longer needed.

Remove bother parenthesis after distributing the negative sign:

y² + 4y + 7 - 4y² - 3y + 2

Gather like terms, that is put terms together than can be combined:

y² - 4y² + 4y - 3y + 7 + 2

Simplify by combining like terms:

-3y² + y + 9