Variable $y$ cannot be equal to $\frac{19}{3}$ since division by zero is not defined. Multiply both sides of the equation by $8\left(3y-19\right)$, the least common multiple of $19-3y,8$.
$$-8\left(1-9y\right)=5\left(3y-19\right)$$
Use the distributive property to multiply $-8$ by $1-9y$.
$$-8+72y=5\left(3y-19\right)$$
Use the distributive property to multiply $5$ by $3y-19$.
$$-8+72y=15y-95$$
Subtract $15y$ from both sides.
$$-8+72y-15y=-95$$
Combine $72y$ and $-15y$ to get $57y$.
$$-8+57y=-95$$
Add $8$ to both sides.
$$57y=-95+8$$
Add $-95$ and $8$ to get $-87$.
$$57y=-87$$
Divide both sides by $57$.
$$y=\frac{-87}{57}$$
Reduce the fraction $\frac{-87}{57}$ to lowest terms by extracting and canceling out $3$.
