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Simplifying 5.5(y + -10) = 3.4y + 12 Reorder the terms: 5.5(-10 + y) = 3.4y + 12 (-10 * 5.5 + y * 5.5) = 3.4y + 12 (-55 + 5.5y) = 3.4y + 12 Reorder the terms: -55 + 5.5y = 12 + 3.4y Solving -55 + 5.5y = 12 + 3.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.4y' to each side of the equation. -55 + 5.5y + -3.4y = 12 + 3.4y + -3.4y Combine like terms: 5.5y + -3.4y = 2.1y -55 + 2.1y = 12 + 3.4y + -3.4y Combine like terms: 3.4y + -3.4y = 0.0 -55 + 2.1y = 12 + 0.0 -55 + 2.1y = 12 Add '55' to each side of the equation. -55 + 55 + 2.1y = 12 + 55 Combine like terms: -55 + 55 = 0 0 + 2.1y = 12 + 55 2.1y = 12 + 55 Combine like terms: 12 + 55 = 67 2.1y = 67 Divide each side by '2.1'. y = 31.9047619 Simplifying y = 31.9047619
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