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-9x + 2y = -69

So 2y = 9x - 69

The other equation can be written as

6x - 4y = 54 or 6x - 2*2y = 54

Substituting for 2y gives

6x - 2*(9x - 69) = 54

6x - 18x + 138 = 54

12x = 84

x = 7

and then 2y = 9x - 69 = 9*7 - 69 = 63-69 = -6

so that y = -3