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Simplifying 3Y + -10 + 46 = 7Y + 40 + -5Y Reorder the terms: -10 + 46 + 3Y = 7Y + 40 + -5Y Combine like terms: -10 + 46 = 36 36 + 3Y = 7Y + 40 + -5Y Reorder the terms: 36 + 3Y = 40 + 7Y + -5Y Combine like terms: 7Y + -5Y = 2Y 36 + 3Y = 40 + 2Y Solving 36 + 3Y = 40 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 36 + 3Y + -2Y = 40 + 2Y + -2Y Combine like terms: 3Y + -2Y = 1Y 36 + 1Y = 40 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 36 + 1Y = 40 + 0 36 + 1Y = 40 Add '-36' to each side of the equation. 36 + -36 + 1Y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 1Y = 40 + -36 1Y = 40 + -36 Combine like terms: 40 + -36 = 4 1Y = 4 Divide each side by '1'. Y = 4 Simplifying Y = 4
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