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Simplifying 4y + 2 + -2Y = 1 + Y + -4 Reorder the terms: 2 + -2Y + 4y = 1 + Y + -4 Reorder the terms: 2 + -2Y + 4y = 1 + -4 + Y Combine like terms: 1 + -4 = -3 2 + -2Y + 4y = -3 + Y Solving 2 + -2Y + 4y = -3 + Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. 2 + -2Y + -1Y + 4y = -3 + Y + -1Y Combine like terms: -2Y + -1Y = -3Y 2 + -3Y + 4y = -3 + Y + -1Y Combine like terms: Y + -1Y = 0 2 + -3Y + 4y = -3 + 0 2 + -3Y + 4y = -3 Add '-2' to each side of the equation. 2 + -3Y + -2 + 4y = -3 + -2 Reorder the terms: 2 + -2 + -3Y + 4y = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -3Y + 4y = -3 + -2 -3Y + 4y = -3 + -2 Combine like terms: -3 + -2 = -5 -3Y + 4y = -5 Add '-4y' to each side of the equation. -3Y + 4y + -4y = -5 + -4y Combine like terms: 4y + -4y = 0 -3Y + 0 = -5 + -4y -3Y = -5 + -4y Divide each side by '-3'. Y = 1.666666667 + 1.333333333y Simplifying Y = 1.666666667 + 1.333333333y
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