Answer:
y = [tex]\frac{1}{3x-1}[/tex]
Step-by-step explanation:
Given
y = 3xy - 1
Collect terms in y on the left side by subtracting 3xy from both sides
y - 3xy = - 1 ← factor out y on the left side
y(1 - 3x) = - 1 ( divide both sides by 1 - 3x
y = [tex]\frac{-1}{1-3x}[/tex] ← multiply numerator/denominator by - 1
y = [tex]\frac{1}{3x-1}[/tex]