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Simplifying 8(3(0.5y) + y) = -4y Remove parenthesis around (0.5y) 8(3 * 0.5y + y) = -4y Multiply 3 * 0.5 8(1.5y + y) = -4y Combine like terms: 1.5y + y = 2.5y 8(2.5y) = -4y Remove parenthesis around (2.5y) 8 * 2.5y = -4y Multiply 8 * 2.5 20y = -4y Solving 20y = -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 20y + 4y = -4y + 4y Combine like terms: 20y + 4y = 24y 24y = -4y + 4y Combine like terms: -4y + 4y = 0 24y = 0 Divide each side by '24'. y = 0 Simplifying y = 0
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