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Simplifying 5y + 128 = 4(y + 1000) Reorder the terms: 128 + 5y = 4(y + 1000) Reorder the terms: 128 + 5y = 4(1000 + y) 128 + 5y = (1000 * 4 + y * 4) 128 + 5y = (4000 + 4y) Solving 128 + 5y = 4000 + 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. 128 + 5y + -4y = 4000 + 4y + -4y Combine like terms: 5y + -4y = 1y 128 + 1y = 4000 + 4y + -4y Combine like terms: 4y + -4y = 0 128 + 1y = 4000 + 0 128 + 1y = 4000 Add '-128' to each side of the equation. 128 + -128 + 1y = 4000 + -128 Combine like terms: 128 + -128 = 0 0 + 1y = 4000 + -128 1y = 4000 + -128 Combine like terms: 4000 + -128 = 3872 1y = 3872 Divide each side by '1'. y = 3872 Simplifying y = 3872
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