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Simplifying -4.6y + 3.1 = -4.2y + 3.5 Reorder the terms: 3.1 + -4.6y = -4.2y + 3.5 Reorder the terms: 3.1 + -4.6y = 3.5 + -4.2y Solving 3.1 + -4.6y = 3.5 + -4.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.2y' to each side of the equation. 3.1 + -4.6y + 4.2y = 3.5 + -4.2y + 4.2y Combine like terms: -4.6y + 4.2y = -0.4y 3.1 + -0.4y = 3.5 + -4.2y + 4.2y Combine like terms: -4.2y + 4.2y = 0.0 3.1 + -0.4y = 3.5 + 0.0 3.1 + -0.4y = 3.5 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -0.4y = 3.5 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.4y = 3.5 + -3.1 -0.4y = 3.5 + -3.1 Combine like terms: 3.5 + -3.1 = 0.4 -0.4y = 0.4 Divide each side by '-0.4'. y = -1 Simplifying y = -1
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