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Simplifying 7(y + 5) + y = 2(y + 3) + -8 Reorder the terms: 7(5 + y) + y = 2(y + 3) + -8 (5 * 7 + y * 7) + y = 2(y + 3) + -8 (35 + 7y) + y = 2(y + 3) + -8 Combine like terms: 7y + y = 8y 35 + 8y = 2(y + 3) + -8 Reorder the terms: 35 + 8y = 2(3 + y) + -8 35 + 8y = (3 * 2 + y * 2) + -8 35 + 8y = (6 + 2y) + -8 Reorder the terms: 35 + 8y = 6 + -8 + 2y Combine like terms: 6 + -8 = -2 35 + 8y = -2 + 2y Solving 35 + 8y = -2 + 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. 35 + 8y + -2y = -2 + 2y + -2y Combine like terms: 8y + -2y = 6y 35 + 6y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + 6y = -2 + 0 35 + 6y = -2 Add '-35' to each side of the equation. 35 + -35 + 6y = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 6y = -2 + -35 6y = -2 + -35 Combine like terms: -2 + -35 = -37 6y = -37 Divide each side by '6'. y = -6.166666667 Simplifying y = -6.166666667
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