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Simplifying x + 9 + -6y + 3 + -4x = 12 + -3x + -18 Reorder the terms: 9 + 3 + x + -4x + -6y = 12 + -3x + -18 Combine like terms: 9 + 3 = 12 12 + x + -4x + -6y = 12 + -3x + -18 Combine like terms: x + -4x = -3x 12 + -3x + -6y = 12 + -3x + -18 Reorder the terms: 12 + -3x + -6y = 12 + -18 + -3x Combine like terms: 12 + -18 = -6 12 + -3x + -6y = -6 + -3x Add '3x' to each side of the equation. 12 + -3x + 3x + -6y = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 0 + -6y = -6 + -3x + 3x 12 + -6y = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -6y = -6 + 0 12 + -6y = -6 Solving 12 + -6y = -6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = -6 + -12 -6y = -6 + -12 Combine like terms: -6 + -12 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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