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en este caso despajaremos primero x
15x - 153 = 7y
15x= 7y + 153
x= (7y+153) / 15
luego remplazas en la otra formula
589 - 20x = 5y
589 - 20 (7y+153)/15 = 5y
589 - 4(7y+153)/3 = 5y
3(589) - 28y - 612 = 3(5y)
1767 - 612 = 15y + 28y
1155 = 43y
y= 1155/43
y= 26,86