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Simplifying 0.2(y + -31) = 0.1 + -1y Reorder the terms: 0.2(-31 + y) = 0.1 + -1y (-31 * 0.2 + y * 0.2) = 0.1 + -1y (-6.2 + 0.2y) = 0.1 + -1y Solving -6.2 + 0.2y = 0.1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6.2 + 0.2y + y = 0.1 + -1y + y Combine like terms: 0.2y + y = 1.2y -6.2 + 1.2y = 0.1 + -1y + y Combine like terms: -1y + y = 0 -6.2 + 1.2y = 0.1 + 0 -6.2 + 1.2y = 0.1 Add '6.2' to each side of the equation. -6.2 + 6.2 + 1.2y = 0.1 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 1.2y = 0.1 + 6.2 1.2y = 0.1 + 6.2 Combine like terms: 0.1 + 6.2 = 6.3 1.2y = 6.3 Divide each side by '1.2'. y = 5.25 Simplifying y = 5.25
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