Answer:
[tex]y=\frac{47}{14}[/tex]
Step-by-step explanation:
Given
[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]
Required
Solve for y
[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]
Open brackets
[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]
Collect Like Terms
[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]
Take L.C.M
[tex]7y=\frac{50-10+7}{2}[/tex]
[tex]7y=\frac{47}{2}[/tex]
Divide both sides by 7
[tex]y=\frac{47}{2*7}[/tex]
[tex]y=\frac{47}{14}[/tex]
