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Simplifying Y + -2 + (Y + -4) = Y + 8 Reorder the terms: Y + -2 + (-4 + Y) = Y + 8 Remove parenthesis around (-4 + Y) Y + -2 + -4 + Y = Y + 8 Reorder the terms: -2 + -4 + Y + Y = Y + 8 Combine like terms: -2 + -4 = -6 -6 + Y + Y = Y + 8 Combine like terms: Y + Y = 2Y -6 + 2Y = Y + 8 Reorder the terms: -6 + 2Y = 8 + Y Solving -6 + 2Y = 8 + 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. -6 + 2Y + -1Y = 8 + Y + -1Y Combine like terms: 2Y + -1Y = 1Y -6 + 1Y = 8 + Y + -1Y Combine like terms: Y + -1Y = 0 -6 + 1Y = 8 + 0 -6 + 1Y = 8 Add '6' to each side of the equation. -6 + 6 + 1Y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1Y = 8 + 6 1Y = 8 + 6 Combine like terms: 8 + 6 = 14 1Y = 14 Divide each side by '1'. Y = 14 Simplifying Y = 14
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