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Simplifying 5(y + 6) + y = 3(y + 5) + -2 Reorder the terms: 5(6 + y) + y = 3(y + 5) + -2 (6 * 5 + y * 5) + y = 3(y + 5) + -2 (30 + 5y) + y = 3(y + 5) + -2 Combine like terms: 5y + y = 6y 30 + 6y = 3(y + 5) + -2 Reorder the terms: 30 + 6y = 3(5 + y) + -2 30 + 6y = (5 * 3 + y * 3) + -2 30 + 6y = (15 + 3y) + -2 Reorder the terms: 30 + 6y = 15 + -2 + 3y Combine like terms: 15 + -2 = 13 30 + 6y = 13 + 3y Solving 30 + 6y = 13 + 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 = 13 + 3y + -3y Combine like terms: 6y + -3y = 3y 30 + 3y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + 3y = 13 + 0 30 + 3y = 13 Add '-30' to each side of the equation. 30 + -30 + 3y = 13 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 13 + -30 3y = 13 + -30 Combine like terms: 13 + -30 = -17 3y = -17 Divide each side by '3'. y = -5.666666667 Simplifying y = -5.666666667
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