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Simplifying 3(y + 5) + 8 = 6(y + -1) + 12 Reorder the terms: 3(5 + y) + 8 = 6(y + -1) + 12 (5 * 3 + y * 3) + 8 = 6(y + -1) + 12 (15 + 3y) + 8 = 6(y + -1) + 12 Reorder the terms: 15 + 8 + 3y = 6(y + -1) + 12 Combine like terms: 15 + 8 = 23 23 + 3y = 6(y + -1) + 12 Reorder the terms: 23 + 3y = 6(-1 + y) + 12 23 + 3y = (-1 * 6 + y * 6) + 12 23 + 3y = (-6 + 6y) + 12 Reorder the terms: 23 + 3y = -6 + 12 + 6y Combine like terms: -6 + 12 = 6 23 + 3y = 6 + 6y Solving 23 + 3y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 23 + 3y + -6y = 6 + 6y + -6y Combine like terms: 3y + -6y = -3y 23 + -3y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 23 + -3y = 6 + 0 23 + -3y = 6 Add '-23' to each side of the equation. 23 + -23 + -3y = 6 + -23 Combine like terms: 23 + -23 = 0 0 + -3y = 6 + -23 -3y = 6 + -23 Combine like terms: 6 + -23 = -17 -3y = -17 Divide each side by '-3'. y = 5.666666667 Simplifying y = 5.666666667
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