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Simplifying 12y + -9 = 2y + -1(6 + -1y) Reorder the terms: -9 + 12y = 2y + -1(6 + -1y) -9 + 12y = 2y + (6 * -1 + -1y * -1) -9 + 12y = 2y + (-6 + 1y) Reorder the terms: -9 + 12y = -6 + 2y + 1y Combine like terms: 2y + 1y = 3y -9 + 12y = -6 + 3y Solving -9 + 12y = -6 + 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 + 12y + -3y = -6 + 3y + -3y Combine like terms: 12y + -3y = 9y -9 + 9y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 9y = -6 + 0 -9 + 9y = -6 Add '9' to each side of the equation. -9 + 9 + 9y = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 9y = -6 + 9 9y = -6 + 9 Combine like terms: -6 + 9 = 3 9y = 3 Divide each side by '9'. y = 0.3333333333 Simplifying y = 0.3333333333
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