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Simplifying 5(9y + 5) = 4(y + 4) + -3 Reorder the terms: 5(5 + 9y) = 4(y + 4) + -3 (5 * 5 + 9y * 5) = 4(y + 4) + -3 (25 + 45y) = 4(y + 4) + -3 Reorder the terms: 25 + 45y = 4(4 + y) + -3 25 + 45y = (4 * 4 + y * 4) + -3 25 + 45y = (16 + 4y) + -3 Reorder the terms: 25 + 45y = 16 + -3 + 4y Combine like terms: 16 + -3 = 13 25 + 45y = 13 + 4y Solving 25 + 45y = 13 + 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. 25 + 45y + -4y = 13 + 4y + -4y Combine like terms: 45y + -4y = 41y 25 + 41y = 13 + 4y + -4y Combine like terms: 4y + -4y = 0 25 + 41y = 13 + 0 25 + 41y = 13 Add '-25' to each side of the equation. 25 + -25 + 41y = 13 + -25 Combine like terms: 25 + -25 = 0 0 + 41y = 13 + -25 41y = 13 + -25 Combine like terms: 13 + -25 = -12 41y = -12 Divide each side by '41'. y = -0.2926829268 Simplifying y = -0.2926829268
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