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Simplifying 3y + 4 + Y + 42 = 7Y + 40 + -5Y Reorder the terms: 4 + 42 + Y + 3y = 7Y + 40 + -5Y Combine like terms: 4 + 42 = 46 46 + Y + 3y = 7Y + 40 + -5Y Reorder the terms: 46 + Y + 3y = 40 + 7Y + -5Y Combine like terms: 7Y + -5Y = 2Y 46 + Y + 3y = 40 + 2Y Solving 46 + Y + 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. 46 + Y + -2Y + 3y = 40 + 2Y + -2Y Combine like terms: Y + -2Y = -1Y 46 + -1Y + 3y = 40 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 46 + -1Y + 3y = 40 + 0 46 + -1Y + 3y = 40 Add '-46' to each side of the equation. 46 + -1Y + -46 + 3y = 40 + -46 Reorder the terms: 46 + -46 + -1Y + 3y = 40 + -46 Combine like terms: 46 + -46 = 0 0 + -1Y + 3y = 40 + -46 -1Y + 3y = 40 + -46 Combine like terms: 40 + -46 = -6 -1Y + 3y = -6 Add '-3y' to each side of the equation. -1Y + 3y + -3y = -6 + -3y Combine like terms: 3y + -3y = 0 -1Y + 0 = -6 + -3y -1Y = -6 + -3y Divide each side by '-1'. Y = 6 + 3y Simplifying Y = 6 + 3y
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