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Simplifying 10(y + 2) = 2(4y + 5) Reorder the terms: 10(2 + y) = 2(4y + 5) (2 * 10 + y * 10) = 2(4y + 5) (20 + 10y) = 2(4y + 5) Reorder the terms: 20 + 10y = 2(5 + 4y) 20 + 10y = (5 * 2 + 4y * 2) 20 + 10y = (10 + 8y) Solving 20 + 10y = 10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 20 + 10y + -8y = 10 + 8y + -8y Combine like terms: 10y + -8y = 2y 20 + 2y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 20 + 2y = 10 + 0 20 + 2y = 10 Add '-20' to each side of the equation. 20 + -20 + 2y = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 2y = 10 + -20 2y = 10 + -20 Combine like terms: 10 + -20 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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