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Simplifying -0.6y + -4.6 = 0.5y + 5.3 Reorder the terms: -4.6 + -0.6y = 0.5y + 5.3 Reorder the terms: -4.6 + -0.6y = 5.3 + 0.5y Solving -4.6 + -0.6y = 5.3 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. -4.6 + -0.6y + -0.5y = 5.3 + 0.5y + -0.5y Combine like terms: -0.6y + -0.5y = -1.1y -4.6 + -1.1y = 5.3 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -4.6 + -1.1y = 5.3 + 0.0 -4.6 + -1.1y = 5.3 Add '4.6' to each side of the equation. -4.6 + 4.6 + -1.1y = 5.3 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -1.1y = 5.3 + 4.6 -1.1y = 5.3 + 4.6 Combine like terms: 5.3 + 4.6 = 9.9 -1.1y = 9.9 Divide each side by '-1.1'. y = -9 Simplifying y = -9
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