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Simplifying 6y + 41 = 3y + 14 Reorder the terms: 41 + 6y = 3y + 14 Reorder the terms: 41 + 6y = 14 + 3y Solving 41 + 6y = 14 + 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. 41 + 6y + -3y = 14 + 3y + -3y Combine like terms: 6y + -3y = 3y 41 + 3y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 41 + 3y = 14 + 0 41 + 3y = 14 Add '-41' to each side of the equation. 41 + -41 + 3y = 14 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 14 + -41 3y = 14 + -41 Combine like terms: 14 + -41 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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