Simplify the following:
2 x - 3 (4 - 5 (6 x + 7 y) - 8)
Grouping like terms, 4 - 5 (6 x + 7 y) - 8 = -5 (6 x + 7 y) + (4 - 8):
2 x - 3 (-5 (6 x + 7 y) + (4 - 8))
4 - 8 = -4:
2 x - 3 (-4 - 5 (6 x + 7 y))
-5 (6 x + 7 y) = -30 x - 35 y:
2 x - 3 (-30 x - 35 y - 4)
-3 (-4 - 30 x - 35 y) = 12 + 90 x + 105 y:
2 x + 12 + 90 x + 105 y
Grouping like terms, 2 x + 12 + 90 x + 105 y = 105 y + (2 x + 90 x) + 12:
105 y + (2 x + 90 x) + 12
2 x + 90 x = 92 x:
Answer: 105 y + 92 x + 12