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Simplifying 8(y + 5) + y = 2(y + 3) + 6 Reorder the terms: 8(5 + y) + y = 2(y + 3) + 6 (5 * 8 + y * 8) + y = 2(y + 3) + 6 (40 + 8y) + y = 2(y + 3) + 6 Combine like terms: 8y + y = 9y 40 + 9y = 2(y + 3) + 6 Reorder the terms: 40 + 9y = 2(3 + y) + 6 40 + 9y = (3 * 2 + y * 2) + 6 40 + 9y = (6 + 2y) + 6 Reorder the terms: 40 + 9y = 6 + 6 + 2y Combine like terms: 6 + 6 = 12 40 + 9y = 12 + 2y Solving 40 + 9y = 12 + 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. 40 + 9y + -2y = 12 + 2y + -2y Combine like terms: 9y + -2y = 7y 40 + 7y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 7y = 12 + 0 40 + 7y = 12 Add '-40' to each side of the equation. 40 + -40 + 7y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 7y = 12 + -40 7y = 12 + -40 Combine like terms: 12 + -40 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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