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Simplifying 0.5(8y + -2) = 16 + -30y Reorder the terms: 0.5(-2 + 8y) = 16 + -30y (-2 * 0.5 + 8y * 0.5) = 16 + -30y (-1 + 4y) = 16 + -30y Solving -1 + 4y = 16 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. -1 + 4y + 30y = 16 + -30y + 30y Combine like terms: 4y + 30y = 34y -1 + 34y = 16 + -30y + 30y Combine like terms: -30y + 30y = 0 -1 + 34y = 16 + 0 -1 + 34y = 16 Add '1' to each side of the equation. -1 + 1 + 34y = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 34y = 16 + 1 34y = 16 + 1 Combine like terms: 16 + 1 = 17 34y = 17 Divide each side by '34'. y = 0.5 Simplifying y = 0.5
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