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Simplifying 9(y + 7) + y = 3(y + 3) + 6 Reorder the terms: 9(7 + y) + y = 3(y + 3) + 6 (7 * 9 + y * 9) + y = 3(y + 3) + 6 (63 + 9y) + y = 3(y + 3) + 6 Combine like terms: 9y + y = 10y 63 + 10y = 3(y + 3) + 6 Reorder the terms: 63 + 10y = 3(3 + y) + 6 63 + 10y = (3 * 3 + y * 3) + 6 63 + 10y = (9 + 3y) + 6 Reorder the terms: 63 + 10y = 9 + 6 + 3y Combine like terms: 9 + 6 = 15 63 + 10y = 15 + 3y Solving 63 + 10y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 63 + 10y + -3y = 15 + 3y + -3y Combine like terms: 10y + -3y = 7y 63 + 7y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 63 + 7y = 15 + 0 63 + 7y = 15 Add '-63' to each side of the equation. 63 + -63 + 7y = 15 + -63 Combine like terms: 63 + -63 = 0 0 + 7y = 15 + -63 7y = 15 + -63 Combine like terms: 15 + -63 = -48 7y = -48 Divide each side by '7'. y = -6.857142857 Simplifying y = -6.857142857
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