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Simplifying y + 0.5 = 2.5(0.2y + 1) + -0.5(4 + -1y) Reorder the terms: 0.5 + y = 2.5(0.2y + 1) + -0.5(4 + -1y) Reorder the terms: 0.5 + y = 2.5(1 + 0.2y) + -0.5(4 + -1y) 0.5 + y = (1 * 2.5 + 0.2y * 2.5) + -0.5(4 + -1y) 0.5 + y = (2.5 + 0.5y) + -0.5(4 + -1y) 0.5 + y = 2.5 + 0.5y + (4 * -0.5 + -1y * -0.5) 0.5 + y = 2.5 + 0.5y + (-2 + 0.5y) Reorder the terms: 0.5 + y = 2.5 + -2 + 0.5y + 0.5y Combine like terms: 2.5 + -2 = 0.5 0.5 + y = 0.5 + 0.5y + 0.5y Combine like terms: 0.5y + 0.5y = 1y 0.5 + y = 0.5 + 1y Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 0.5 + -0.5 + 1y Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 0.5 + -0.5 + 1y y = 0.5 + -0.5 + 1y Combine like terms: 0.5 + -0.5 = 0.0 y = 0.0 + 1y y = 1y Solving y = 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 1y + -1y Combine like terms: y + -1y = 0 0 = 1y + -1y Combine like terms: 1y + -1y = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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