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Simplifying 5(y + -9) = 3y + -41 Reorder the terms: 5(-9 + y) = 3y + -41 (-9 * 5 + y * 5) = 3y + -41 (-45 + 5y) = 3y + -41 Reorder the terms: -45 + 5y = -41 + 3y Solving -45 + 5y = -41 + 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. -45 + 5y + -3y = -41 + 3y + -3y Combine like terms: 5y + -3y = 2y -45 + 2y = -41 + 3y + -3y Combine like terms: 3y + -3y = 0 -45 + 2y = -41 + 0 -45 + 2y = -41 Add '45' to each side of the equation. -45 + 45 + 2y = -41 + 45 Combine like terms: -45 + 45 = 0 0 + 2y = -41 + 45 2y = -41 + 45 Combine like terms: -41 + 45 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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