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Simplifying (Y + -8) + -1(y + 6) = 7y Reorder the terms: (-8 + Y) + -1(y + 6) = 7y Remove parenthesis around (-8 + Y) -8 + Y + -1(y + 6) = 7y Reorder the terms: -8 + Y + -1(6 + y) = 7y -8 + Y + (6 * -1 + y * -1) = 7y -8 + Y + (-6 + -1y) = 7y Reorder the terms: -8 + -6 + Y + -1y = 7y Combine like terms: -8 + -6 = -14 -14 + Y + -1y = 7y Solving -14 + Y + -1y = 7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + Y + 14 + -1y = 14 + 7y Reorder the terms: -14 + 14 + Y + -1y = 14 + 7y Combine like terms: -14 + 14 = 0 0 + Y + -1y = 14 + 7y Y + -1y = 14 + 7y Add 'y' to each side of the equation. Y + -1y + y = 14 + 7y + y Combine like terms: -1y + y = 0 Y + 0 = 14 + 7y + y Y = 14 + 7y + y Combine like terms: 7y + y = 8y Y = 14 + 8y Simplifying Y = 14 + 8y
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