What is the solution to the proportion? 3y-8/12 = y/5

40 / 3

Justification:

A proportion is the equality of two ratios.

Your equality is:

3y - 8         y
=   ---
   12           5

That equality is an equation. Now you must solve for y.

These are the steps:

1) Multilpy both sides by 12 * 5

=> 5 (3y - 8) = 12y

2) Expand the parentesis (distributive property)

15y - 40 = 12y

3) Transpose 12 and - 40

15y - 12y = 40

4) Combine the like terms

3y = 40

5) Divide both sides by 3

y = 40 / 3

y = 40 / 3