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Simplifying 5(0.04y + -0.08) = 3(0.2y + -0.05) + -0.4y Reorder the terms: 5(-0.08 + 0.04y) = 3(0.2y + -0.05) + -0.4y (-0.08 * 5 + 0.04y * 5) = 3(0.2y + -0.05) + -0.4y (-0.4 + 0.2y) = 3(0.2y + -0.05) + -0.4y Reorder the terms: -0.4 + 0.2y = 3(-0.05 + 0.2y) + -0.4y -0.4 + 0.2y = (-0.05 * 3 + 0.2y * 3) + -0.4y -0.4 + 0.2y = (-0.15 + 0.6y) + -0.4y Combine like terms: 0.6y + -0.4y = 0.2y -0.4 + 0.2y = -0.15 + 0.2y Add '-0.2y' to each side of the equation. -0.4 + 0.2y + -0.2y = -0.15 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -0.4 + 0.0 = -0.15 + 0.2y + -0.2y -0.4 = -0.15 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -0.4 = -0.15 + 0.0 -0.4 = -0.15 Solving -0.4 = -0.15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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