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Simplifying -4 + 9(6y + 3) = (4y + -5) + -4 Reorder the terms: -4 + 9(3 + 6y) = (4y + -5) + -4 -4 + (3 * 9 + 6y * 9) = (4y + -5) + -4 -4 + (27 + 54y) = (4y + -5) + -4 Combine like terms: -4 + 27 = 23 23 + 54y = (4y + -5) + -4 Reorder the terms: 23 + 54y = (-5 + 4y) + -4 Remove parenthesis around (-5 + 4y) 23 + 54y = -5 + 4y + -4 Reorder the terms: 23 + 54y = -5 + -4 + 4y Combine like terms: -5 + -4 = -9 23 + 54y = -9 + 4y Solving 23 + 54y = -9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 23 + 54y + -4y = -9 + 4y + -4y Combine like terms: 54y + -4y = 50y 23 + 50y = -9 + 4y + -4y Combine like terms: 4y + -4y = 0 23 + 50y = -9 + 0 23 + 50y = -9 Add '-23' to each side of the equation. 23 + -23 + 50y = -9 + -23 Combine like terms: 23 + -23 = 0 0 + 50y = -9 + -23 50y = -9 + -23 Combine like terms: -9 + -23 = -32 50y = -32 Divide each side by '50'. y = -0.64 Simplifying y = -0.64
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