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Simplifying 14y + 6 = 9y + 41 Reorder the terms: 6 + 14y = 9y + 41 Reorder the terms: 6 + 14y = 41 + 9y Solving 6 + 14y = 41 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 6 + 14y + -9y = 41 + 9y + -9y Combine like terms: 14y + -9y = 5y 6 + 5y = 41 + 9y + -9y Combine like terms: 9y + -9y = 0 6 + 5y = 41 + 0 6 + 5y = 41 Add '-6' to each side of the equation. 6 + -6 + 5y = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 41 + -6 5y = 41 + -6 Combine like terms: 41 + -6 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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