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Simplifying 20(y + 2) = 5(3y + 4) Reorder the terms: 20(2 + y) = 5(3y + 4) (2 * 20 + y * 20) = 5(3y + 4) (40 + 20y) = 5(3y + 4) Reorder the terms: 40 + 20y = 5(4 + 3y) 40 + 20y = (4 * 5 + 3y * 5) 40 + 20y = (20 + 15y) Solving 40 + 20y = 20 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 40 + 20y + -15y = 20 + 15y + -15y Combine like terms: 20y + -15y = 5y 40 + 5y = 20 + 15y + -15y Combine like terms: 15y + -15y = 0 40 + 5y = 20 + 0 40 + 5y = 20 Add '-40' to each side of the equation. 40 + -40 + 5y = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 5y = 20 + -40 5y = 20 + -40 Combine like terms: 20 + -40 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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