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