How do I solve the following by using substitution?

Y=4x+9

10x=18 - 2y

Plug 4x=9 in for y:

10x=18-2 (4x+9)

10x=18-8x-18

10x=-8x

18x=0

x=0

now plug 0 in for x:

y=4 (0) + 9

y=9

to check, plug x and y back into one of the equations to make sure they are right:

10 (0) = 18-2 (9)

0=18-2*9

0=18-18

0=0