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Simplifying -3(2 + -0.4y) + 5.6 = 0.4(3y + 1) (2 * -3 + -0.4y * -3) + 5.6 = 0.4(3y + 1) (-6 + 1.2y) + 5.6 = 0.4(3y + 1) Reorder the terms: -6 + 5.6 + 1.2y = 0.4(3y + 1) Combine like terms: -6 + 5.6 = -0.4 -0.4 + 1.2y = 0.4(3y + 1) Reorder the terms: -0.4 + 1.2y = 0.4(1 + 3y) -0.4 + 1.2y = (1 * 0.4 + 3y * 0.4) -0.4 + 1.2y = (0.4 + 1.2y) Add '-1.2y' to each side of the equation. -0.4 + 1.2y + -1.2y = 0.4 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 -0.4 + 0.0 = 0.4 + 1.2y + -1.2y -0.4 = 0.4 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 -0.4 = 0.4 + 0.0 -0.4 = 0.4 Solving -0.4 = 0.4 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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