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.