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Simplifying (Y + -3y + -5) + -1(-1y + -7y + 4) = 0 Reorder the terms: (-5 + Y + -3y) + -1(-1y + -7y + 4) = 0 Remove parenthesis around (-5 + Y + -3y) -5 + Y + -3y + -1(-1y + -7y + 4) = 0 Reorder the terms: -5 + Y + -3y + -1(4 + -1y + -7y) = 0 Combine like terms: -1y + -7y = -8y -5 + Y + -3y + -1(4 + -8y) = 0 -5 + Y + -3y + (4 * -1 + -8y * -1) = 0 -5 + Y + -3y + (-4 + 8y) = 0 Reorder the terms: -5 + -4 + Y + -3y + 8y = 0 Combine like terms: -5 + -4 = -9 -9 + Y + -3y + 8y = 0 Combine like terms: -3y + 8y = 5y -9 + Y + 5y = 0 Solving -9 + Y + 5y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + Y + 9 + 5y = 0 + 9 Reorder the terms: -9 + 9 + Y + 5y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + Y + 5y = 0 + 9 Y + 5y = 0 + 9 Combine like terms: 0 + 9 = 9 Y + 5y = 9 Add '-5y' to each side of the equation. Y + 5y + -5y = 9 + -5y Combine like terms: 5y + -5y = 0 Y + 0 = 9 + -5y Y = 9 + -5y Simplifying Y = 9 + -5y
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