Answer
$y=5$
Work Step by Step
We start with the given equation: $2y+0.5y+4.5=17$
Next, we subtract $4.5$ on both sides to isolate the $y$ terms: $2y+0.5y+4.5-4.5=17-4.5$
Then, we combine like terms on each side of the equation: $2.5y=12.5$
Finally, we divide by $2.5$ on both sides: $y=\frac{12.5}{2.5}=5$
To check, we plug in $5$ to the original equation for $y$: $2(5)+0.5(5)+4.5=17$
We simplify using the order of operations:
First, we multiply from left to right: $10+2.5+4.5=17$
Then, we add from left to right: $12.5+4.5=17=17$
The answer checks.
