What is the solution to the following proportion? Please show all work in order to receive full credit.
4y−1012=y10
To solve this proportion, we can cross multiply and then solve for y.
Cross multiplying gives us:
(4y−1012)(10) = y
Expanding the left side of the equation:
40y - 10120 = y
Next, we want to isolate the term with y on one side of the equation. To do this, we will subtract y from both sides:
40y - y - 10120 = 0
Combining like terms:
39y - 10120 = 0
Next, we want to solve for y. To do this, we will add 10120 to both sides:
39y = 10120
Finally, we divide both sides by 39 to find the value of y:
y = 10120/39
Thus, the solution to the proportion is y = 260.