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Simplifying y + -4 + -9(y + -3) + 3(4y + 1) = 0 Reorder the terms: y + -4 + -9(-3 + y) + 3(4y + 1) = 0 y + -4 + (-3 * -9 + y * -9) + 3(4y + 1) = 0 y + -4 + (27 + -9y) + 3(4y + 1) = 0 Reorder the terms: y + -4 + 27 + -9y + 3(1 + 4y) = 0 y + -4 + 27 + -9y + (1 * 3 + 4y * 3) = 0 y + -4 + 27 + -9y + (3 + 12y) = 0 Reorder the terms: -4 + 27 + 3 + y + -9y + 12y = 0 Combine like terms: -4 + 27 = 23 23 + 3 + y + -9y + 12y = 0 Combine like terms: 23 + 3 = 26 26 + y + -9y + 12y = 0 Combine like terms: y + -9y = -8y 26 + -8y + 12y = 0 Combine like terms: -8y + 12y = 4y 26 + 4y = 0 Solving 26 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4y = 0 + -26 4y = 0 + -26 Combine like terms: 0 + -26 = -26 4y = -26 Divide each side by '4'. y = -6.5 Simplifying y = -6.5
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