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Simplifying 3(y + 7) + 9(y + 5) + 12 = 0 Reorder the terms: 3(7 + y) + 9(y + 5) + 12 = 0 (7 * 3 + y * 3) + 9(y + 5) + 12 = 0 (21 + 3y) + 9(y + 5) + 12 = 0 Reorder the terms: 21 + 3y + 9(5 + y) + 12 = 0 21 + 3y + (5 * 9 + y * 9) + 12 = 0 21 + 3y + (45 + 9y) + 12 = 0 Reorder the terms: 21 + 45 + 12 + 3y + 9y = 0 Combine like terms: 21 + 45 = 66 66 + 12 + 3y + 9y = 0 Combine like terms: 66 + 12 = 78 78 + 3y + 9y = 0 Combine like terms: 3y + 9y = 12y 78 + 12y = 0 Solving 78 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 12y = 0 + -78 Combine like terms: 78 + -78 = 0 0 + 12y = 0 + -78 12y = 0 + -78 Combine like terms: 0 + -78 = -78 12y = -78 Divide each side by '12'. y = -6.5 Simplifying y = -6.5
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