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Simplifying 3(4y + 9) + -4(y + -1) = 0 Reorder the terms: 3(9 + 4y) + -4(y + -1) = 0 (9 * 3 + 4y * 3) + -4(y + -1) = 0 (27 + 12y) + -4(y + -1) = 0 Reorder the terms: 27 + 12y + -4(-1 + y) = 0 27 + 12y + (-1 * -4 + y * -4) = 0 27 + 12y + (4 + -4y) = 0 Reorder the terms: 27 + 4 + 12y + -4y = 0 Combine like terms: 27 + 4 = 31 31 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 31 + 8y = 0 Solving 31 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 8y = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 8y = 0 + -31 8y = 0 + -31 Combine like terms: 0 + -31 = -31 8y = -31 Divide each side by '8'. y = -3.875 Simplifying y = -3.875
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