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Simplifying -6(y + -3y) + 9 = -2(2y + -1y) + 1 + 13y Combine like terms: y + -3y = -2y -6(-2y) + 9 = -2(2y + -1y) + 1 + 13y Remove parenthesis around (-2y) -6 * -2y + 9 = -2(2y + -1y) + 1 + 13y Multiply -6 * -2 12y + 9 = -2(2y + -1y) + 1 + 13y Reorder the terms: 9 + 12y = -2(2y + -1y) + 1 + 13y Combine like terms: 2y + -1y = 1y 9 + 12y = -2(1y) + 1 + 13y Remove parenthesis around (1y) 9 + 12y = -2 * 1y + 1 + 13y Multiply -2 * 1 9 + 12y = -2y + 1 + 13y Reorder the terms: 9 + 12y = 1 + -2y + 13y Combine like terms: -2y + 13y = 11y 9 + 12y = 1 + 11y Solving 9 + 12y = 1 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 9 + 12y + -11y = 1 + 11y + -11y Combine like terms: 12y + -11y = 1y 9 + 1y = 1 + 11y + -11y Combine like terms: 11y + -11y = 0 9 + 1y = 1 + 0 9 + 1y = 1 Add '-9' to each side of the equation. 9 + -9 + 1y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 1 + -9 1y = 1 + -9 Combine like terms: 1 + -9 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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