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Simplifying 7(y + 8) + y = 2(y + 4) + -2 Reorder the terms: 7(8 + y) + y = 2(y + 4) + -2 (8 * 7 + y * 7) + y = 2(y + 4) + -2 (56 + 7y) + y = 2(y + 4) + -2 Combine like terms: 7y + y = 8y 56 + 8y = 2(y + 4) + -2 Reorder the terms: 56 + 8y = 2(4 + y) + -2 56 + 8y = (4 * 2 + y * 2) + -2 56 + 8y = (8 + 2y) + -2 Reorder the terms: 56 + 8y = 8 + -2 + 2y Combine like terms: 8 + -2 = 6 56 + 8y = 6 + 2y Solving 56 + 8y = 6 + 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. 56 + 8y + -2y = 6 + 2y + -2y Combine like terms: 8y + -2y = 6y 56 + 6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 56 + 6y = 6 + 0 56 + 6y = 6 Add '-56' to each side of the equation. 56 + -56 + 6y = 6 + -56 Combine like terms: 56 + -56 = 0 0 + 6y = 6 + -56 6y = 6 + -56 Combine like terms: 6 + -56 = -50 6y = -50 Divide each side by '6'. y = -8.333333333 Simplifying y = -8.333333333
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