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Simplifying 10(5y + 4) = 3(3y + 5) Reorder the terms: 10(4 + 5y) = 3(3y + 5) (4 * 10 + 5y * 10) = 3(3y + 5) (40 + 50y) = 3(3y + 5) Reorder the terms: 40 + 50y = 3(5 + 3y) 40 + 50y = (5 * 3 + 3y * 3) 40 + 50y = (15 + 9y) Solving 40 + 50y = 15 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 40 + 50y + -9y = 15 + 9y + -9y Combine like terms: 50y + -9y = 41y 40 + 41y = 15 + 9y + -9y Combine like terms: 9y + -9y = 0 40 + 41y = 15 + 0 40 + 41y = 15 Add '-40' to each side of the equation. 40 + -40 + 41y = 15 + -40 Combine like terms: 40 + -40 = 0 0 + 41y = 15 + -40 41y = 15 + -40 Combine like terms: 15 + -40 = -25 41y = -25 Divide each side by '41'. y = -0.6097560976 Simplifying y = -0.6097560976
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