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Simplifying 0.6y + 0.9 = -2.1y + -6.3 Reorder the terms: 0.9 + 0.6y = -2.1y + -6.3 Reorder the terms: 0.9 + 0.6y = -6.3 + -2.1y Solving 0.9 + 0.6y = -6.3 + -2.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.1y' to each side of the equation. 0.9 + 0.6y + 2.1y = -6.3 + -2.1y + 2.1y Combine like terms: 0.6y + 2.1y = 2.7y 0.9 + 2.7y = -6.3 + -2.1y + 2.1y Combine like terms: -2.1y + 2.1y = 0.0 0.9 + 2.7y = -6.3 + 0.0 0.9 + 2.7y = -6.3 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 2.7y = -6.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 2.7y = -6.3 + -0.9 2.7y = -6.3 + -0.9 Combine like terms: -6.3 + -0.9 = -7.2 2.7y = -7.2 Divide each side by '2.7'. y = -2.666666667 Simplifying y = -2.666666667
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