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Simplifying -3(y + -2y) + 9 = -6(2y + -1y) + 6 + 8y Combine like terms: y + -2y = -1y -3(-1y) + 9 = -6(2y + -1y) + 6 + 8y Remove parenthesis around (-1y) -3 * -1y + 9 = -6(2y + -1y) + 6 + 8y Multiply -3 * -1 3y + 9 = -6(2y + -1y) + 6 + 8y Reorder the terms: 9 + 3y = -6(2y + -1y) + 6 + 8y Combine like terms: 2y + -1y = 1y 9 + 3y = -6(1y) + 6 + 8y Remove parenthesis around (1y) 9 + 3y = -6 * 1y + 6 + 8y Multiply -6 * 1 9 + 3y = -6y + 6 + 8y Reorder the terms: 9 + 3y = 6 + -6y + 8y Combine like terms: -6y + 8y = 2y 9 + 3y = 6 + 2y Solving 9 + 3y = 6 + 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. 9 + 3y + -2y = 6 + 2y + -2y Combine like terms: 3y + -2y = 1y 9 + 1y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 1y = 6 + 0 9 + 1y = 6 Add '-9' to each side of the equation. 9 + -9 + 1y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 6 + -9 1y = 6 + -9 Combine like terms: 6 + -9 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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