The solution follows the sequence ...
- eliminate parentheses
- collect terms
- elminate decimal fractions
- isolate the variable on one side and the constant on the other
- divide by the coefficient of the variable.
The problem is in the first step, where parentheses are eliminated. One of the multiplications is done incorrectly, and the error is propagated through the rest of the solution.
0.15(y -0.2) = 0.15y - 0.03 . . . . not 0.15y - 0.3
If you carry forward the value 0.03 instead of 0.30, you find the answer is
... -153/35 = y
______
Some of the other steps should be ...
.15y -.03 = 2 - .5 + .5y
15y -3 = 150 +50y
-153 = 35y
