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Simplifying 44 = (2y + 4) + (3y + -5) Reorder the terms: 44 = (4 + 2y) + (3y + -5) Remove parenthesis around (4 + 2y) 44 = 4 + 2y + (3y + -5) Reorder the terms: 44 = 4 + 2y + (-5 + 3y) Remove parenthesis around (-5 + 3y) 44 = 4 + 2y + -5 + 3y Reorder the terms: 44 = 4 + -5 + 2y + 3y Combine like terms: 4 + -5 = -1 44 = -1 + 2y + 3y Combine like terms: 2y + 3y = 5y 44 = -1 + 5y Solving 44 = -1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 44 + -5y = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 44 + -5y = -1 + 0 44 + -5y = -1 Add '-44' to each side of the equation. 44 + -44 + -5y = -1 + -44 Combine like terms: 44 + -44 = 0 0 + -5y = -1 + -44 -5y = -1 + -44 Combine like terms: -1 + -44 = -45 -5y = -45 Divide each side by '-5'. y = 9 Simplifying y = 9
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