How do you solve answers for x and y?

2x - 4y = 10
x + 5y = -9

2x - 4y = 10

x + 5y = -9

x = -9 - 5y

2(-9 - 5y) - 4y = 10

-18 - 10y - 4y = 10

-14y = 28

y = -2