Help me with this problem

2x - 5y + 5z = -18
6x + y - z = 10
5x - 2y - z = 15

Find (x, y, z)

I kept getting large fractions + final result doesn't match the system. Any help is appreciated, thanks for your time.

2x - 5y + 5z = -18 -- (1)
6x + y - z = 10 -- (2)
5x - 2y - z = 15 -- (3)

(2) - (3) => x + 3y = -5

(1) + (2)*5 => 32x = 32

x = 1

x + 3y = -5 => 1 + 3y = -5 => 3y = -6 => y = -2

plug in x and y to (1)

2(1) - 5(-2) + 5z = -18
2 + 10 + 5z = -18
5z = -30
z = -6

(x, y, z) = (1, -2, -6)

Multiple eliminations and determination should yield
x = 1
y = 8
z = 4