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Simplifying 5(y + 9) + y = 3(y + 4) + 6 Reorder the terms: 5(9 + y) + y = 3(y + 4) + 6 (9 * 5 + y * 5) + y = 3(y + 4) + 6 (45 + 5y) + y = 3(y + 4) + 6 Combine like terms: 5y + y = 6y 45 + 6y = 3(y + 4) + 6 Reorder the terms: 45 + 6y = 3(4 + y) + 6 45 + 6y = (4 * 3 + y * 3) + 6 45 + 6y = (12 + 3y) + 6 Reorder the terms: 45 + 6y = 12 + 6 + 3y Combine like terms: 12 + 6 = 18 45 + 6y = 18 + 3y Solving 45 + 6y = 18 + 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. 45 + 6y + -3y = 18 + 3y + -3y Combine like terms: 6y + -3y = 3y 45 + 3y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 45 + 3y = 18 + 0 45 + 3y = 18 Add '-45' to each side of the equation. 45 + -45 + 3y = 18 + -45 Combine like terms: 45 + -45 = 0 0 + 3y = 18 + -45 3y = 18 + -45 Combine like terms: 18 + -45 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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