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Simplifying 5(4y + 9) = -27 + -3y Reorder the terms: 5(9 + 4y) = -27 + -3y (9 * 5 + 4y * 5) = -27 + -3y (45 + 20y) = -27 + -3y Solving 45 + 20y = -27 + -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 + 20y + 3y = -27 + -3y + 3y Combine like terms: 20y + 3y = 23y 45 + 23y = -27 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + 23y = -27 + 0 45 + 23y = -27 Add '-45' to each side of the equation. 45 + -45 + 23y = -27 + -45 Combine like terms: 45 + -45 = 0 0 + 23y = -27 + -45 23y = -27 + -45 Combine like terms: -27 + -45 = -72 23y = -72 Divide each side by '23'. y = -3.130434783 Simplifying y = -3.130434783
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