What is the solution of the proportion?
3y-8 y
---- = ---
12 5
5*(3y-8)=12y
15y-40=12y
subtract 12y from each side
add 40 to each side
divide each side by 3
To solve the proportion, you need to cross-multiply and then solve for the variable.
First, cross-multiply by multiplying the numerator of the left side (3y-8) by the denominator of the right side (5) and vice versa:
(3y-8) * 5 = y * 12
Next, simplify the products:
15y - 40 = 12y
Now, isolate the variable y by subtracting 12y from both sides:
15y - 12y - 40 = 0
Combine like terms:
3y - 40 = 0
Finally, add 40 to both sides to isolate the variable:
3y = 40
Divide both sides by 3 to solve for y:
y = 40/3
Therefore, the solution to the proportion is y = 40/3.