Can some please explain how to solve this? Thank you. 1/2(3/2y+1/3)=-1/2(y-5/2)

Y = 13/15

First, write the equation:
1/2 (3/2y+1/3) = -1/2 (y-5/2)
First, distribute 1/2 by multiplying that by 3/2y and 1/3. At the same time, distribute -1/2 by multiplying that by y and -5/2. It should look like:
3/4y + 1/6 = -1/2y + 5/4
When solving to find a variable, you want to get the variable to only one side of the equation. Add 1/2y to both sides of the equation. However, when you have to add 3/4y + 1/2y, you’ll notice that the denominators are different, meaning you have to change them to make the denominators the same. Multiply 1/2 by 2 to get 2/4. Now, add 3/4 + 2/4 to get 5/4. This is what you should now have:
5/4y + 1/6 = 5/4
Next, you want to try and get the variable number by itself. As you can see, 1/6 prevents it from being by itself on one side of the equation. Subtract 1/6 from both sides. Once again, you cannot do this because the denominators aren’t the same. Multiply 5/4 by 6 and 1/6 by 4 to get 30/24 minus 4/24, which equals 26/24. You can now simplify that to 13/12. Now your equation should look like this:
5/4y = 13/12
Divide both sides of the equation by 5/4 to get y = 13/15. That is your final answer. Hope this helped! Sorry if this answer was rlly long lol

No he does not because he can only cover 12 square feet from 15 square feet which he will still need 3 more. this is because if 3×5=15 square feet and 15-12=3 which thats the answer