To make this problem easy to conquer, you'll want to convert it to slope intercept form (y=mx+b).
2(x-5)+3y+1=3
First, distribute the 2.
2x - 10 + 3y + 1 = 3
Combine like terms: -10 + 1
2x - 9 + 3y = 3
Add 9 to both sides.
2x + 3y = 12
Subtract 2x from both sides.
3y = -2x + 12
Divide both sides by 3 to get y by itself, making sure you divide every term.
3y/3 = -2x/3 + 12/3
y = -2/3x + 4
Now, it's in y = mx + b, where m is slope and b is y intercept.