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Simplifying y + 12 = -2(y + 1) Reorder the terms: 12 + y = -2(y + 1) Reorder the terms: 12 + y = -2(1 + y) 12 + y = (1 * -2 + y * -2) 12 + y = (-2 + -2y) Solving 12 + y = -2 + -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 + y + 2y = -2 + -2y + 2y Combine like terms: y + 2y = 3y 12 + 3y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 3y = -2 + 0 12 + 3y = -2 Add '-12' to each side of the equation. 12 + -12 + 3y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -2 + -12 3y = -2 + -12 Combine like terms: -2 + -12 = -14 3y = -14 Divide each side by '3'. y = -4.666666667 Simplifying y = -4.666666667
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