What is the solution to the following proportion? Please show all work in order to receive full credit.

4y-10/12 = y/10

1 answer

To solve the proportion 4y-10/12 = y/10, we need to cross multiply and solve for y.

First, cross multiplying we get:

(4y-10)(10) = 12(y)

Expanding the left side, we get:

40y - 100 = 12y

Next, we can combine like terms by subtracting 12y from both sides:

40y - 12y - 100 = 0

Simplifying the left side, we get:

28y - 100 = 0

To isolate y, we can add 100 to both sides:

28y - 100 + 100 = 0 + 100

Simplifying, we get:

28y = 100

Finally, to solve for y, we can divide both sides by 28:

28y/28 = 100/28

Simplifying, we get:

y = 100/28

The solution to the proportion is:

y = 25/7 or approximately 3.57