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Simplifying 2y + 9 = 44 + -3y Reorder the terms: 9 + 2y = 44 + -3y Solving 9 + 2y = 44 + -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. 9 + 2y + 3y = 44 + -3y + 3y Combine like terms: 2y + 3y = 5y 9 + 5y = 44 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 5y = 44 + 0 9 + 5y = 44 Add '-9' to each side of the equation. 9 + -9 + 5y = 44 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 44 + -9 5y = 44 + -9 Combine like terms: 44 + -9 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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