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Simplifying (Y + -5) + -1(y + 5) = 7y Reorder the terms: (-5 + Y) + -1(y + 5) = 7y Remove parenthesis around (-5 + Y) -5 + Y + -1(y + 5) = 7y Reorder the terms: -5 + Y + -1(5 + y) = 7y -5 + Y + (5 * -1 + y * -1) = 7y -5 + Y + (-5 + -1y) = 7y Reorder the terms: -5 + -5 + Y + -1y = 7y Combine like terms: -5 + -5 = -10 -10 + Y + -1y = 7y Solving -10 + Y + -1y = 7y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + Y + 10 + -1y = 10 + 7y Reorder the terms: -10 + 10 + Y + -1y = 10 + 7y Combine like terms: -10 + 10 = 0 0 + Y + -1y = 10 + 7y Y + -1y = 10 + 7y Add 'y' to each side of the equation. Y + -1y + y = 10 + 7y + y Combine like terms: -1y + y = 0 Y + 0 = 10 + 7y + y Y = 10 + 7y + y Combine like terms: 7y + y = 8y Y = 10 + 8y Simplifying Y = 10 + 8y
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