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Simplifying 6(4y + 1) = 4(5y + 2) Reorder the terms: 6(1 + 4y) = 4(5y + 2) (1 * 6 + 4y * 6) = 4(5y + 2) (6 + 24y) = 4(5y + 2) Reorder the terms: 6 + 24y = 4(2 + 5y) 6 + 24y = (2 * 4 + 5y * 4) 6 + 24y = (8 + 20y) Solving 6 + 24y = 8 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 6 + 24y + -20y = 8 + 20y + -20y Combine like terms: 24y + -20y = 4y 6 + 4y = 8 + 20y + -20y Combine like terms: 20y + -20y = 0 6 + 4y = 8 + 0 6 + 4y = 8 Add '-6' to each side of the equation. 6 + -6 + 4y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4y = 8 + -6 4y = 8 + -6 Combine like terms: 8 + -6 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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