To solve this equation, we first need to simplify the left side:
2/3(3/8 - 1/2y) = 5
First, we find a common denominator for 3 and 8, which is 24:
2/3(9/24 - 12/24y2/3(9 - 12y)/2(18 - 24y)/23(6 - 8y)/218 - 24y/23/4 - y
Now our equation becomes:
3/4 - y = 5 1/2y - 17 3/4
To solve for y, we need to get all the terms with y on one side:
y + 5 1/2y = 3/4 + 17 3/4
Now, simplify the right side:
6 1/2y = 18
Now divide by 6 1/2:
y = 18 / 6 1/y = 18 / 13/y = 36/13
Therefore, y = 36/13 when the equation is balanced.
To solve this equation, we first need to simplify the left side:
2/3(3/8 - 1/2y) = 5
First, we find a common denominator for 3 and 8, which is 24:
2/3(9/24 - 12/24y
2/3(9 - 12y)/2
(18 - 24y)/2
3(6 - 8y)/2
18 - 24y/2
3/4 - y
Now our equation becomes:
3/4 - y = 5 1/2y - 17 3/4
To solve for y, we need to get all the terms with y on one side:
y + 5 1/2y = 3/4 + 17 3/4
Now, simplify the right side:
6 1/2y = 18
Now divide by 6 1/2:
y = 18 / 6 1/
y = 18 / 13/
y = 36/13
Therefore, y = 36/13 when the equation is balanced.