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Simplifying 7(y + 9) + y = 3(y + 4) + -8 Reorder the terms: 7(9 + y) + y = 3(y + 4) + -8 (9 * 7 + y * 7) + y = 3(y + 4) + -8 (63 + 7y) + y = 3(y + 4) + -8 Combine like terms: 7y + y = 8y 63 + 8y = 3(y + 4) + -8 Reorder the terms: 63 + 8y = 3(4 + y) + -8 63 + 8y = (4 * 3 + y * 3) + -8 63 + 8y = (12 + 3y) + -8 Reorder the terms: 63 + 8y = 12 + -8 + 3y Combine like terms: 12 + -8 = 4 63 + 8y = 4 + 3y Solving 63 + 8y = 4 + 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 + 8y + -3y = 4 + 3y + -3y Combine like terms: 8y + -3y = 5y 63 + 5y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 63 + 5y = 4 + 0 63 + 5y = 4 Add '-63' to each side of the equation. 63 + -63 + 5y = 4 + -63 Combine like terms: 63 + -63 = 0 0 + 5y = 4 + -63 5y = 4 + -63 Combine like terms: 4 + -63 = -59 5y = -59 Divide each side by '5'. y = -11.8 Simplifying y = -11.8
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