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Simplifying 5Y + (Y + -6) = (Y + 1) + -3 Reorder the terms: 5Y + (-6 + Y) = (Y + 1) + -3 Remove parenthesis around (-6 + Y) 5Y + -6 + Y = (Y + 1) + -3 Reorder the terms: -6 + 5Y + Y = (Y + 1) + -3 Combine like terms: 5Y + Y = 6Y -6 + 6Y = (Y + 1) + -3 Reorder the terms: -6 + 6Y = (1 + Y) + -3 Remove parenthesis around (1 + Y) -6 + 6Y = 1 + Y + -3 Reorder the terms: -6 + 6Y = 1 + -3 + Y Combine like terms: 1 + -3 = -2 -6 + 6Y = -2 + Y Solving -6 + 6Y = -2 + 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 + 6Y + -1Y = -2 + Y + -1Y Combine like terms: 6Y + -1Y = 5Y -6 + 5Y = -2 + Y + -1Y Combine like terms: Y + -1Y = 0 -6 + 5Y = -2 + 0 -6 + 5Y = -2 Add '6' to each side of the equation. -6 + 6 + 5Y = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 5Y = -2 + 6 5Y = -2 + 6 Combine like terms: -2 + 6 = 4 5Y = 4 Divide each side by '5'. Y = 0.8 Simplifying Y = 0.8
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