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Simplifying 5(1.2Y + 6) = 7.1Y + 34.4 Reorder the terms: 5(6 + 1.2Y) = 7.1Y + 34.4 (6 * 5 + 1.2Y * 5) = 7.1Y + 34.4 (30 + 6Y) = 7.1Y + 34.4 Reorder the terms: 30 + 6Y = 34.4 + 7.1Y Solving 30 + 6Y = 34.4 + 7.1Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7.1Y' to each side of the equation. 30 + 6Y + -7.1Y = 34.4 + 7.1Y + -7.1Y Combine like terms: 6Y + -7.1Y = -1.1Y 30 + -1.1Y = 34.4 + 7.1Y + -7.1Y Combine like terms: 7.1Y + -7.1Y = 0.0 30 + -1.1Y = 34.4 + 0.0 30 + -1.1Y = 34.4 Add '-30' to each side of the equation. 30 + -30 + -1.1Y = 34.4 + -30 Combine like terms: 30 + -30 = 0 0 + -1.1Y = 34.4 + -30 -1.1Y = 34.4 + -30 Combine like terms: 34.4 + -30 = 4.4 -1.1Y = 4.4 Divide each side by '-1.1'. Y = -4 Simplifying Y = -4
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