Answer
The inequality has no solution.
Work Step by Step
The given inequality is
$\Rightarrow -3(3y-2)\lt 1-9y$
Use distributive property.
$\Rightarrow -9y+6\lt 1-9y$
Subtract $1$ from each side.
$\Rightarrow -9y+6-1\lt 1-9y-1$
Simplify.
$\Rightarrow -9y+5\lt -9y$
Add $9y$ to each side.
$\Rightarrow -9y+5+9y\lt -9y+9y$
Simplify.
$\Rightarrow 5\lt 0$
False.
Hence, the inequality has no solution.
