Question

Solve 2(3y + 1) = 20.
A) y = 4
B) y = 2
C) y = 3
D) y = 5

Answer 1

To solve the equation 2(3y + 1) = 20, you expand the parentheses, subtract 2 from both sides to get 6y = 18, and then divide by 6 to find y = 3, making the correct answer option B) y = 2.

Step-by-step explanation:

The correct answer is option B) y = 2. To solve the equation 2(3y + 1) = 20, we need to use the distributive property to eliminate the parentheses.

To solve the equation, we need to distribute the 2 to the terms inside the parentheses:

2(3y + 1) = 20

6y + 2 = 20

Next, we'll subtract 2 from both sides of the equation:

6y = 18

Finally, we'll divide both sides of the equation by 6 to solve for y:

y = 3

Therefore, the correct solution is y = 4 This gives us 6y + 2 = 20. Then, we subtract 2 from both sides, resulting in 6y = 18. Lastly, we divide both sides by 6 to solve for y, which gives us y = 3, indicating that the correct answer is indeed option B.