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Simplifying 3(9 + -1y) = 5(y + -9) (9 * 3 + -1y * 3) = 5(y + -9) (27 + -3y) = 5(y + -9) Reorder the terms: 27 + -3y = 5(-9 + y) 27 + -3y = (-9 * 5 + y * 5) 27 + -3y = (-45 + 5y) Solving 27 + -3y = -45 + 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. 27 + -3y + -5y = -45 + 5y + -5y Combine like terms: -3y + -5y = -8y 27 + -8y = -45 + 5y + -5y Combine like terms: 5y + -5y = 0 27 + -8y = -45 + 0 27 + -8y = -45 Add '-27' to each side of the equation. 27 + -27 + -8y = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -8y = -45 + -27 -8y = -45 + -27 Combine like terms: -45 + -27 = -72 -8y = -72 Divide each side by '-8'. y = 9 Simplifying y = 9
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