Simplify 6 - 4[x + 1 - (y + 3) ] + 5y.

-4 + 2x + 3y A

8 + 2x + 3y B

14 - 4x + 9y C

22 - 4x + 9y D

The Answer is C: 14 - 4x + 9y

Simplify the following:

6 - 4 (x + 1 - (y + 3)) + 5 y

- (y + 3) = - y - 3:

6 - 4 (x + 1 + - y - 3) + 5 y

Grouping like terms, x + 1 - 3 - y = - y + x + (1 - 3):

6 - 4 (-y + x + (1 - 3)) + 5 y

1 - 3 = - 2:

6 - 4 (-y + x + - 2) + 5 y

-4 (-2 + x - y) = 8 - 4 x + 4 y:

6 + 8 - 4 x + 4 y + 5 y

Add like terms. 6 + 8 = 14:

14 - 4 x + 4 y + 5 y

4 y + 5 y = 9 y:

Answer: 14 - 4 x + 9 y