How would I solve this?

Make (2x - 20) = 130 because they are vertical angles.
2x - 20 = 130
Add 20 to both sides.
2x = 150
Divide both sides by 2.
x = 75
Now make (4y + 10) + 130 = 180 because they are supplementary angles.
(4y + 10) + 130 = 180
Combine like terms.
4y + 140 = 180
Subtract 140 from both sides.
4y = 40
Divide both sides by 4.
y = 10