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Simplifying 5(y + 6) + y = 3(y + 3) + -5 Reorder the terms: 5(6 + y) + y = 3(y + 3) + -5 (6 * 5 + y * 5) + y = 3(y + 3) + -5 (30 + 5y) + y = 3(y + 3) + -5 Combine like terms: 5y + y = 6y 30 + 6y = 3(y + 3) + -5 Reorder the terms: 30 + 6y = 3(3 + y) + -5 30 + 6y = (3 * 3 + y * 3) + -5 30 + 6y = (9 + 3y) + -5 Reorder the terms: 30 + 6y = 9 + -5 + 3y Combine like terms: 9 + -5 = 4 30 + 6y = 4 + 3y Solving 30 + 6y = 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. 30 + 6y + -3y = 4 + 3y + -3y Combine like terms: 6y + -3y = 3y 30 + 3y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + 3y = 4 + 0 30 + 3y = 4 Add '-30' to each side of the equation. 30 + -30 + 3y = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 4 + -30 3y = 4 + -30 Combine like terms: 4 + -30 = -26 3y = -26 Divide each side by '3'. y = -8.666666667 Simplifying y = -8.666666667
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