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Simplifying -2[y + -4] = 12 + -1y Reorder the terms: -2[-4 + y] = 12 + -1y [-4 * -2 + y * -2] = 12 + -1y [8 + -2y] = 12 + -1y Solving 8 + -2y = 12 + -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. 8 + -2y + y = 12 + -1y + y Combine like terms: -2y + y = -1y 8 + -1y = 12 + -1y + y Combine like terms: -1y + y = 0 8 + -1y = 12 + 0 8 + -1y = 12 Add '-8' to each side of the equation. 8 + -8 + -1y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 12 + -8 -1y = 12 + -8 Combine like terms: 12 + -8 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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