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Simplifying 4.2y + 0.2 = -1.2y + -5.2 Reorder the terms: 0.2 + 4.2y = -1.2y + -5.2 Reorder the terms: 0.2 + 4.2y = -5.2 + -1.2y Solving 0.2 + 4.2y = -5.2 + -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. 0.2 + 4.2y + 1.2y = -5.2 + -1.2y + 1.2y Combine like terms: 4.2y + 1.2y = 5.4y 0.2 + 5.4y = -5.2 + -1.2y + 1.2y Combine like terms: -1.2y + 1.2y = 0.0 0.2 + 5.4y = -5.2 + 0.0 0.2 + 5.4y = -5.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 5.4y = -5.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 5.4y = -5.2 + -0.2 5.4y = -5.2 + -0.2 Combine like terms: -5.2 + -0.2 = -5.4 5.4y = -5.4 Divide each side by '5.4'. y = -1 Simplifying y = -1
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