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Simplifying -3(y + -4y) + 9 = -2(3y + -1y) + 3 + 12y Combine like terms: y + -4y = -3y -3(-3y) + 9 = -2(3y + -1y) + 3 + 12y Remove parenthesis around (-3y) -3 * -3y + 9 = -2(3y + -1y) + 3 + 12y Multiply -3 * -3 9y + 9 = -2(3y + -1y) + 3 + 12y Reorder the terms: 9 + 9y = -2(3y + -1y) + 3 + 12y Combine like terms: 3y + -1y = 2y 9 + 9y = -2(2y) + 3 + 12y Remove parenthesis around (2y) 9 + 9y = -2 * 2y + 3 + 12y Multiply -2 * 2 9 + 9y = -4y + 3 + 12y Reorder the terms: 9 + 9y = 3 + -4y + 12y Combine like terms: -4y + 12y = 8y 9 + 9y = 3 + 8y Solving 9 + 9y = 3 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 9 + 9y + -8y = 3 + 8y + -8y Combine like terms: 9y + -8y = 1y 9 + 1y = 3 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + 1y = 3 + 0 9 + 1y = 3 Add '-9' to each side of the equation. 9 + -9 + 1y = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 3 + -9 1y = 3 + -9 Combine like terms: 3 + -9 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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