Answer:
![y=3.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/lm98xil9ul8y1qjxpq5qe6t5sduv8c4tce.png)
Explanation:
![2.5y+6=4.5y-1](https://img.qammunity.org/2021/formulas/mathematics/high-school/sbjtx33megxaoaiveoaxar6y24hh6fvopg.png)
Start by subtracting
from both sides of the equation:
![2.5y=4.5y-7](https://img.qammunity.org/2021/formulas/mathematics/high-school/rrz4ux2brfn3lg59zfln474qjpc9p8wyij.png)
Subtract
from both sides of the equation:
![-2y=-7](https://img.qammunity.org/2021/formulas/mathematics/high-school/t8ps7mnv03ozuojg8co1r0qidfgp0ejk01.png)
Divide both sides of the equation by the coefficient of
, which is
:
![y=3.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/lm98xil9ul8y1qjxpq5qe6t5sduv8c4tce.png)
_
Check your solution by substituting the solved value of
(
) into the initial equation:
![2.5(3.5)+6=4.5(3.5)-1](https://img.qammunity.org/2021/formulas/mathematics/high-school/52gmemvnplpkeu36lx405z0nojv1e05qd8.png)
![8.75+6=15.75-1](https://img.qammunity.org/2021/formulas/mathematics/high-school/qww8bk0fs7ccsqmrtx9a1vmgrgwquqkys6.png)
![14.75=14.75](https://img.qammunity.org/2021/formulas/mathematics/high-school/jmd1qga137jc9whmrdidac7upyyy262r53.png)
Since both sides of the equation are equal to each other, our solution is correct!