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Simplifying 7(y + 5) + 2y + -12 = 0 Reorder the terms: 7(5 + y) + 2y + -12 = 0 (5 * 7 + y * 7) + 2y + -12 = 0 (35 + 7y) + 2y + -12 = 0 Reorder the terms: 35 + -12 + 7y + 2y = 0 Combine like terms: 35 + -12 = 23 23 + 7y + 2y = 0 Combine like terms: 7y + 2y = 9y 23 + 9y = 0 Solving 23 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 9y = 0 + -23 9y = 0 + -23 Combine like terms: 0 + -23 = -23 9y = -23 Divide each side by '9'. y = -2.555555556 Simplifying y = -2.555555556
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