Answer:
y = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{15}[/tex] = [tex]\frac{2}{y+8}[/tex] ( cross- multiply )
4(y + 8) = 30 ← distribute left side
4y + 32 = 30 ( subtract 32 from both sides )
4y = - 2 ( divide both sides by 4 )
y = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]