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Simplifying 8(y + 10) + y = 2(y + 2) + 7 Reorder the terms: 8(10 + y) + y = 2(y + 2) + 7 (10 * 8 + y * 8) + y = 2(y + 2) + 7 (80 + 8y) + y = 2(y + 2) + 7 Combine like terms: 8y + y = 9y 80 + 9y = 2(y + 2) + 7 Reorder the terms: 80 + 9y = 2(2 + y) + 7 80 + 9y = (2 * 2 + y * 2) + 7 80 + 9y = (4 + 2y) + 7 Reorder the terms: 80 + 9y = 4 + 7 + 2y Combine like terms: 4 + 7 = 11 80 + 9y = 11 + 2y Solving 80 + 9y = 11 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 80 + 9y + -2y = 11 + 2y + -2y Combine like terms: 9y + -2y = 7y 80 + 7y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 80 + 7y = 11 + 0 80 + 7y = 11 Add '-80' to each side of the equation. 80 + -80 + 7y = 11 + -80 Combine like terms: 80 + -80 = 0 0 + 7y = 11 + -80 7y = 11 + -80 Combine like terms: 11 + -80 = -69 7y = -69 Divide each side by '7'. y = -9.857142857 Simplifying y = -9.857142857
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