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Simplifying 5.3y + 6.2 = -0.5y + -5.4 Reorder the terms: 6.2 + 5.3y = -0.5y + -5.4 Reorder the terms: 6.2 + 5.3y = -5.4 + -0.5y Solving 6.2 + 5.3y = -5.4 + -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. 6.2 + 5.3y + 0.5y = -5.4 + -0.5y + 0.5y Combine like terms: 5.3y + 0.5y = 5.8y 6.2 + 5.8y = -5.4 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 6.2 + 5.8y = -5.4 + 0.0 6.2 + 5.8y = -5.4 Add '-6.2' to each side of the equation. 6.2 + -6.2 + 5.8y = -5.4 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 5.8y = -5.4 + -6.2 5.8y = -5.4 + -6.2 Combine like terms: -5.4 + -6.2 = -11.6 5.8y = -11.6 Divide each side by '5.8'. y = -2 Simplifying y = -2
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