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Simplifying y + -1(y + 9) = 12 + -1(3y + -2) Reorder the terms: y + -1(9 + y) = 12 + -1(3y + -2) y + (9 * -1 + y * -1) = 12 + -1(3y + -2) y + (-9 + -1y) = 12 + -1(3y + -2) Reorder the terms: -9 + y + -1y = 12 + -1(3y + -2) Combine like terms: y + -1y = 0 -9 + 0 = 12 + -1(3y + -2) -9 = 12 + -1(3y + -2) Reorder the terms: -9 = 12 + -1(-2 + 3y) -9 = 12 + (-2 * -1 + 3y * -1) -9 = 12 + (2 + -3y) Combine like terms: 12 + 2 = 14 -9 = 14 + -3y Solving -9 = 14 + -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. -9 + 3y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 3y = 14 + 0 -9 + 3y = 14 Add '9' to each side of the equation. -9 + 9 + 3y = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 14 + 9 3y = 14 + 9 Combine like terms: 14 + 9 = 23 3y = 23 Divide each side by '3'. y = 7.666666667 Simplifying y = 7.666666667
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