Answer :
Answer:
[tex]y = \frac{1}{2}[/tex] or y = 1/2
Step-by-step explanation:
1. Simplify the expression
[tex]\(\frac{1}{7}y+\frac{1}{8}y+\frac{-1}{56}y=y+\frac{-3}{8}\)[/tex]
2. Subtract y from both sides:
[tex]\(\frac{y}{4}=y-\frac{3}{8}\)[/tex]
[tex]\(\frac{y}{4}\textcolor{-y}=y-\frac{3}{8}\textcolor{-y}\)[/tex]
3. Simplify the expression:
[tex]\(\frac{y}{4}-y=y-\frac{3}{8}-y\)[/tex]
4. Divide both sides by the same factor:
[tex]\(-6y=-3\)[/tex]
[tex]\(\frac{-6y}{\textcolor{-6}}=\frac{-3}{\textcolor{-6}}\)[/tex]
5. Simplify the expression:
[tex]\(\frac{-6y}{-6}=\frac{-3}{-6}\)[/tex]
Solution:
[tex]y = \frac{1}{2}[/tex] or y = 1/2
