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Simplifying -2(y + 6) = 1 + -1y + 8 Reorder the terms: -2(6 + y) = 1 + -1y + 8 (6 * -2 + y * -2) = 1 + -1y + 8 (-12 + -2y) = 1 + -1y + 8 Reorder the terms: -12 + -2y = 1 + 8 + -1y Combine like terms: 1 + 8 = 9 -12 + -2y = 9 + -1y Solving -12 + -2y = 9 + -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 = 9 + -1y + y Combine like terms: -2y + y = -1y -12 + -1y = 9 + -1y + y Combine like terms: -1y + y = 0 -12 + -1y = 9 + 0 -12 + -1y = 9 Add '12' to each side of the equation. -12 + 12 + -1y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 9 + 12 -1y = 9 + 12 Combine like terms: 9 + 12 = 21 -1y = 21 Divide each side by '-1'. y = -21 Simplifying y = -21
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