Answer:
y = 1
Explanation:
Step 1: Distribute
We have to distribute the coefficient to the terms in the parentheses.
2(3y + 5) = 3(5y + 1/3)
2(3y) + 2(5) = 3(5y) + 3(1/3)
6y + 10 = 15y + 1
Step 2: Isolate a term with the variable
We want one term that contains x on one side (preferably the largest value)
We can subtract 1 to isolate 15x
6y + 10 = 15y + 1
6y + 9 = 15y
Step 3: variable - term on one side, numbers on the other
Now we just want to have a value equal to the y - term (preferably largest)
Subtract 6y from both sides
6y + 9 = 15y
9 = 9y
Step 4: Isolate the variable
Now we just want the variably on one side.
We can rewrite 9y as 9 * y, and use the operation division to isolate y
9 = 9 * y
9/9 = y
1 = y
y = 1
-Chetan K