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Simplifying 3(2y + 4) = 5(4y + 2) Reorder the terms: 3(4 + 2y) = 5(4y + 2) (4 * 3 + 2y * 3) = 5(4y + 2) (12 + 6y) = 5(4y + 2) Reorder the terms: 12 + 6y = 5(2 + 4y) 12 + 6y = (2 * 5 + 4y * 5) 12 + 6y = (10 + 20y) Solving 12 + 6y = 10 + 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. 12 + 6y + -20y = 10 + 20y + -20y Combine like terms: 6y + -20y = -14y 12 + -14y = 10 + 20y + -20y Combine like terms: 20y + -20y = 0 12 + -14y = 10 + 0 12 + -14y = 10 Add '-12' to each side of the equation. 12 + -12 + -14y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -14y = 10 + -12 -14y = 10 + -12 Combine like terms: 10 + -12 = -2 -14y = -2 Divide each side by '-14'. y = 0.1428571429 Simplifying y = 0.1428571429
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