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Simplifying (3x + y) + (6x + -4) = 9x + 12 Remove parenthesis around (3x + y) 3x + y + (6x + -4) = 9x + 12 Reorder the terms: 3x + y + (-4 + 6x) = 9x + 12 Remove parenthesis around (-4 + 6x) 3x + y + -4 + 6x = 9x + 12 Reorder the terms: -4 + 3x + 6x + y = 9x + 12 Combine like terms: 3x + 6x = 9x -4 + 9x + y = 9x + 12 Reorder the terms: -4 + 9x + y = 12 + 9x Add '-9x' to each side of the equation. -4 + 9x + -9x + y = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + 0 + y = 12 + 9x + -9x -4 + y = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + y = 12 + 0 -4 + y = 12 Solving -4 + y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + y = 12 + 4 y = 12 + 4 Combine like terms: 12 + 4 = 16 y = 16 Simplifying y = 16
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