the equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
Two lines are parallel if they have the same slope
For the first equation,
2y = 3x - 5
y = 3x/2 - 5/2
Slope = 3/2
For the second equation,
8 - y = - 3c
y = 3x + 8
Slope = 3
We can see that the slopes are not equal. Thus, they are not parallel