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Simplifying 100y + 500 = 1000 + -200y Reorder the terms: 500 + 100y = 1000 + -200y Solving 500 + 100y = 1000 + -200y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '200y' to each side of the equation. 500 + 100y + 200y = 1000 + -200y + 200y Combine like terms: 100y + 200y = 300y 500 + 300y = 1000 + -200y + 200y Combine like terms: -200y + 200y = 0 500 + 300y = 1000 + 0 500 + 300y = 1000 Add '-500' to each side of the equation. 500 + -500 + 300y = 1000 + -500 Combine like terms: 500 + -500 = 0 0 + 300y = 1000 + -500 300y = 1000 + -500 Combine like terms: 1000 + -500 = 500 300y = 500 Divide each side by '300'. y = 1.666666667 Simplifying y = 1.666666667
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