Answer:
y = 0.375
Step-by-step explanation:
[tex]\frac{0.5y}{\frac{4}{9}}=\frac{y+3}{8}[/tex]
[tex]\frac{0.5y}{1}\times \frac{9}{4}=\frac{y+3}{8}[/tex]
[tex]\frac{4.5y}{4}=\frac{y+3}{8}[/tex]
By cross multiplication,
8(4.5y) = 4(y + 3)
36y = 4y + 12
36y - 4y = 12
32y = 12
y = [tex]\frac{12}{32}[/tex]
y = [tex]\frac{3}{8}[/tex]
y = 0.375
Therefore, y = 0.375 will be the answer.
