Explanation:
2y + 3x = 1
that means when converting it into a standard line function like y = ax + b :
2y = -3x + 1
y = -3/2 x + 1/2
so, the slope of the line is the factor of x : -3/2
every parallel line must have the same slope.
so, a parallel line would be e.g.
y = -3/2 x + 5