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Simplifying (Y + -5) + -1(y + -6) = 6y Reorder the terms: (-5 + Y) + -1(y + -6) = 6y Remove parenthesis around (-5 + Y) -5 + Y + -1(y + -6) = 6y Reorder the terms: -5 + Y + -1(-6 + y) = 6y -5 + Y + (-6 * -1 + y * -1) = 6y -5 + Y + (6 + -1y) = 6y Reorder the terms: -5 + 6 + Y + -1y = 6y Combine like terms: -5 + 6 = 1 1 + Y + -1y = 6y Solving 1 + Y + -1y = 6y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + Y + -1 + -1y = -1 + 6y Reorder the terms: 1 + -1 + Y + -1y = -1 + 6y Combine like terms: 1 + -1 = 0 0 + Y + -1y = -1 + 6y Y + -1y = -1 + 6y Add 'y' to each side of the equation. Y + -1y + y = -1 + 6y + y Combine like terms: -1y + y = 0 Y + 0 = -1 + 6y + y Y = -1 + 6y + y Combine like terms: 6y + y = 7y Y = -1 + 7y Simplifying Y = -1 + 7y
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