The answer you are looking for is y=5.
Solution/Explanation:
Writing out the problem,
6=1/5(4y+10)
Using the Distributive Property,
6=4/5y+2
Subtracting 2 from both sides of the equation,
6-2=4/5y
4=4/5y
Multiplying both sides by 5, to transform the fraction into a whole number,
20=4y
Finally, dividing both sides by 4,
So, therefore the final answer is y=5.