What is the value of y in the equation 4y - 2 (1 - y) = - 44?

a.-23

b.-15

c.-14

d.-7

In the equation 4y - 2 (1 - y) = - 44, it is best to start off by distributing 2 to the binomial to have similar terms to have an easier time simplifying. This is done as follows:

4y - 2 (1 - y) = - 44

4y - 2 (1) + 2y = - 44

4y - 2 + 2y = - 44

6y - 2 = - 44

Adding both sides by 2 to isolate 6y:

6y - 2 + 2 = - 44 + 2

6y = - 42

Dividing both sides by 6:

6y/6 = - 42/6

y = - 7

Therefore the correct answer among the choices is D.