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Simplifying x + 2y + 12 + -1x = -1y + -6 Reorder the terms: 12 + x + -1x + 2y = -1y + -6 Combine like terms: x + -1x = 0 12 + 0 + 2y = -1y + -6 12 + 2y = -1y + -6 Reorder the terms: 12 + 2y = -6 + -1y Solving 12 + 2y = -6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 12 + 2y + y = -6 + -1y + y Combine like terms: 2y + y = 3y 12 + 3y = -6 + -1y + y Combine like terms: -1y + y = 0 12 + 3y = -6 + 0 12 + 3y = -6 Add '-12' to each side of the equation. 12 + -12 + 3y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -6 + -12 3y = -6 + -12 Combine like terms: -6 + -12 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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