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Simplifying 7(y + 9) + y = 2(y + 5) + 4 Reorder the terms: 7(9 + y) + y = 2(y + 5) + 4 (9 * 7 + y * 7) + y = 2(y + 5) + 4 (63 + 7y) + y = 2(y + 5) + 4 Combine like terms: 7y + y = 8y 63 + 8y = 2(y + 5) + 4 Reorder the terms: 63 + 8y = 2(5 + y) + 4 63 + 8y = (5 * 2 + y * 2) + 4 63 + 8y = (10 + 2y) + 4 Reorder the terms: 63 + 8y = 10 + 4 + 2y Combine like terms: 10 + 4 = 14 63 + 8y = 14 + 2y Solving 63 + 8y = 14 + 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. 63 + 8y + -2y = 14 + 2y + -2y Combine like terms: 8y + -2y = 6y 63 + 6y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 63 + 6y = 14 + 0 63 + 6y = 14 Add '-63' to each side of the equation. 63 + -63 + 6y = 14 + -63 Combine like terms: 63 + -63 = 0 0 + 6y = 14 + -63 6y = 14 + -63 Combine like terms: 14 + -63 = -49 6y = -49 Divide each side by '6'. y = -8.166666667 Simplifying y = -8.166666667
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