Answer:
y = (1 -3x)/x
Step-by-step explanation:
Rearrange terms to get an expression that has y as a multiplier, and divide by the coefficient of y.
[tex]\dfrac{1+2xy}{y+1}=3x\qquad\text{given}\\\\1+2xy=3x(y+1)\qquad\text{multiply by $(y+1)$}\\\\1+2xy=3xy+3x\qquad\text{eliminate parentheses}\\\\1-3x=xy\qquad\text{subtract $(3x+2xy)$}\\\\\boxed{y=\dfrac{1-3x}{x}}\qquad\text{divide by the coefficient of y}[/tex]
