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