6. $\frac{3}{16y}=\frac{1}{y + 13}$

Explanation:

Step1: Cross - multiply

$3(y + 13)=16y$

Step2: Expand the left - hand side

$3y+39 = 16y$

Step3: Move the terms with y to one side

$39=16y - 3y$

Step4: Combine like terms

$39 = 13y$

Step5: Solve for y

$y=\frac{39}{13}=3$

Answer:

$y = 3$