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Simplifying 41 + 3y + -9 = 14y + -10 + -5y Reorder the terms: 41 + -9 + 3y = 14y + -10 + -5y Combine like terms: 41 + -9 = 32 32 + 3y = 14y + -10 + -5y Reorder the terms: 32 + 3y = -10 + 14y + -5y Combine like terms: 14y + -5y = 9y 32 + 3y = -10 + 9y Solving 32 + 3y = -10 + 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. 32 + 3y + -9y = -10 + 9y + -9y Combine like terms: 3y + -9y = -6y 32 + -6y = -10 + 9y + -9y Combine like terms: 9y + -9y = 0 32 + -6y = -10 + 0 32 + -6y = -10 Add '-32' to each side of the equation. 32 + -32 + -6y = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -6y = -10 + -32 -6y = -10 + -32 Combine like terms: -10 + -32 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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