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Simplifying y + 0.3y + -2.2 = -5.8y + -37.7 Reorder the terms: -2.2 + y + 0.3y = -5.8y + -37.7 Combine like terms: y + 0.3y = 1.3y -2.2 + 1.3y = -5.8y + -37.7 Reorder the terms: -2.2 + 1.3y = -37.7 + -5.8y Solving -2.2 + 1.3y = -37.7 + -5.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5.8y' to each side of the equation. -2.2 + 1.3y + 5.8y = -37.7 + -5.8y + 5.8y Combine like terms: 1.3y + 5.8y = 7.1y -2.2 + 7.1y = -37.7 + -5.8y + 5.8y Combine like terms: -5.8y + 5.8y = 0.0 -2.2 + 7.1y = -37.7 + 0.0 -2.2 + 7.1y = -37.7 Add '2.2' to each side of the equation. -2.2 + 2.2 + 7.1y = -37.7 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 7.1y = -37.7 + 2.2 7.1y = -37.7 + 2.2 Combine like terms: -37.7 + 2.2 = -35.5 7.1y = -35.5 Divide each side by '7.1'. y = -5 Simplifying y = -5
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