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Simplifying 1 + -2(6 + -1y) = 3y + 12 1 + (6 * -2 + -1y * -2) = 3y + 12 1 + (-12 + 2y) = 3y + 12 Combine like terms: 1 + -12 = -11 -11 + 2y = 3y + 12 Reorder the terms: -11 + 2y = 12 + 3y Solving -11 + 2y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -11 + 2y + -3y = 12 + 3y + -3y Combine like terms: 2y + -3y = -1y -11 + -1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -11 + -1y = 12 + 0 -11 + -1y = 12 Add '11' to each side of the equation. -11 + 11 + -1y = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 12 + 11 -1y = 12 + 11 Combine like terms: 12 + 11 = 23 -1y = 23 Divide each side by '-1'. y = -23 Simplifying y = -23
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