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Simplifying 3.4y + -5.2 = 3y + 12 Reorder the terms: -5.2 + 3.4y = 3y + 12 Reorder the terms: -5.2 + 3.4y = 12 + 3y Solving -5.2 + 3.4y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5.2 + 3.4y + -3y = 12 + 3y + -3y Combine like terms: 3.4y + -3y = 0.4y -5.2 + 0.4y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -5.2 + 0.4y = 12 + 0 -5.2 + 0.4y = 12 Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.4y = 12 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.4y = 12 + 5.2 0.4y = 12 + 5.2 Combine like terms: 12 + 5.2 = 17.2 0.4y = 17.2 Divide each side by '0.4'. y = 43 Simplifying y = 43
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