Final answer:
After simplifying and rearranging the given equation, we found a specific value for y, indicating there is one solution for the equation. Therefore, the answer is B) One solution.
Step-by-step explanation:
To determine the number of solutions for the equation 4y – 7 + 2y = -3(y - 1) - 1, we first simplify and combine like terms on each side of the equation. Combining the terms on the left side, we get 6y - 7. Expanding the right side, we have -3y + 3 - 1, which simplifies to -3y + 2.
Next, we equate the two sides and arrange the terms: 6y - 7 = -3y + 2. Adding 3y to both sides and adding 7 to both sides will give us 9y = 9. Dividing both sides by 9, we find y = 1.
Since we have found a specific value for y, this means there is one solution for the equation. Therefore, the correct answer to the question is B) One solution.