Answer:
y = 6.5
Explanation:
To solve the equation, (3y - 2)/5 = (24 - y)/5, we can start by multiplying both sides of the equation by 5 to eliminate the denominators:
5 * [(3y - 2)/5] = 5 * [(24 - y)/5]
This simplifies to:
3y - 2 = 24 - y
Next, let's isolate the terms with y on one side of the equation. We can do this by adding y to both sides:
3y + y - 2 = 24 - y + y
Combining like terms:
4y - 2 = 24
Now, let's isolate the term with y by adding 2 to both sides:
4y - 2 + 2 = 24 + 2
Simplifying:
4y = 26
Finally, to solve for y, we divide both sides by 4:
(4y)/4 = 26/4
Simplifying further:
y = 6.5
Therefore, the solution to the equation (3y - 2)/5 = (24 - y)/5 is y = 6.5.