Hello!
We solve this algebraically
y + 6 = 3/2(x - 4)
We distribute the 3/2
y + 6 = 3/2x - 6
If you work with decimals easier we can make 3/2 into a decimal
y + 6 = 1.5x - 6
Add 6 to both sides
y + 12 = 1.5x
subtract y from both sides
1.5x + -y = 12
Hope this helps!