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Simplifying 4y + 3x + -1y = -6x + 12 Reorder the terms: 3x + 4y + -1y = -6x + 12 Combine like terms: 4y + -1y = 3y 3x + 3y = -6x + 12 Reorder the terms: 3x + 3y = 12 + -6x Solving 3x + 3y = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x + 3y = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 9x + 3y = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 9x + 3y = 12 + 0 9x + 3y = 12 Add '-3y' to each side of the equation. 9x + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 9x + 0 = 12 + -3y 9x = 12 + -3y Divide each side by '9'. x = 1.333333333 + -0.3333333333y Simplifying x = 1.333333333 + -0.3333333333y
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