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Simplifying 7(y + 5) + y = 2(y + 2) + 6 Reorder the terms: 7(5 + y) + y = 2(y + 2) + 6 (5 * 7 + y * 7) + y = 2(y + 2) + 6 (35 + 7y) + y = 2(y + 2) + 6 Combine like terms: 7y + y = 8y 35 + 8y = 2(y + 2) + 6 Reorder the terms: 35 + 8y = 2(2 + y) + 6 35 + 8y = (2 * 2 + y * 2) + 6 35 + 8y = (4 + 2y) + 6 Reorder the terms: 35 + 8y = 4 + 6 + 2y Combine like terms: 4 + 6 = 10 35 + 8y = 10 + 2y Solving 35 + 8y = 10 + 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 = 10 + 2y + -2y Combine like terms: 8y + -2y = 6y 35 + 6y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + 6y = 10 + 0 35 + 6y = 10 Add '-35' to each side of the equation. 35 + -35 + 6y = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 6y = 10 + -35 6y = 10 + -35 Combine like terms: 10 + -35 = -25 6y = -25 Divide each side by '6'. y = -4.166666667 Simplifying y = -4.166666667
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