Answer:
y = [tex]\frac{21}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{6}[/tex] y - [tex]\frac{1}{2}[/tex] = 3 - [tex]\frac{1}{2}[/tex] y
Multiply through by 6 to clear the fractions
y - 3 = 18 - 3y ( add 3y to both sides )
4y - 3 = 18 ( add 3 to both sides )
4y = 21 ( divide both sides by 4 )
y = [tex]\frac{21}{4}[/tex] = 5.25