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Simplifying 0.4y + 1 = 1.2y + -3 Reorder the terms: 1 + 0.4y = 1.2y + -3 Reorder the terms: 1 + 0.4y = -3 + 1.2y Solving 1 + 0.4y = -3 + 1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.2y' to each side of the equation. 1 + 0.4y + -1.2y = -3 + 1.2y + -1.2y Combine like terms: 0.4y + -1.2y = -0.8y 1 + -0.8y = -3 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 1 + -0.8y = -3 + 0.0 1 + -0.8y = -3 Add '-1' to each side of the equation. 1 + -1 + -0.8y = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8y = -3 + -1 -0.8y = -3 + -1 Combine like terms: -3 + -1 = -4 -0.8y = -4 Divide each side by '-0.8'. y = 5 Simplifying y = 5
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