The solution to the equation is: $y = 6.5$.
Work Step by Step
The first step to solving this equation is to rearrange the equations so that like terms are combined. We try to isolate the variable to one side and the constant to the other. In combining like terms, we get: $-72.8y + 4.98y = 14.6 - 455.43$ We add the terms to get: $-67.82y = -440.83$ We can now solve for $y$ by dividing both sides by $-67.82$: $y = 6.5$