Final answer:
After solving the equation -4(y + 1) = 2y - 14, the value of y is found to be 5/3 or approximately 1.67, which does not match any of the provided options. Hence, none of the options are correct.
Step-by-step explanation:
To solve the equation -4(y + 1) = 2y - 14, follow these steps:Distribute the -4 on the left side: -4 × y = -4y, and -4 × 1 = -4, so you get -4y - 4. Now, the equation looks like this: -4y - 4 = 2y - 14. To get all y terms on one side and constants on the other, add 4y to both sides, resulting in -4 = 6y - 14.
Add 14 to both sides to isolate the y term, giving you 10 = 6y. Finally, divide both sides by 6 to solve for y, which results in y = 10/6 or y = 5/3. However, this does not match any of the provided options (a) -3, (b) -5, (c) -7, or (d) -9.
There seems to be a mistake as the correct value of y is 5/3 which simplifies to approximately 1.67, not listed in the options. If presented as an answer option, it could indicate an error in the question or the options provided.