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Simplifying (Y + -6) + -1(y + 7) = 8y Reorder the terms: (-6 + Y) + -1(y + 7) = 8y Remove parenthesis around (-6 + Y) -6 + Y + -1(y + 7) = 8y Reorder the terms: -6 + Y + -1(7 + y) = 8y -6 + Y + (7 * -1 + y * -1) = 8y -6 + Y + (-7 + -1y) = 8y Reorder the terms: -6 + -7 + Y + -1y = 8y Combine like terms: -6 + -7 = -13 -13 + Y + -1y = 8y Solving -13 + Y + -1y = 8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + Y + 13 + -1y = 13 + 8y Reorder the terms: -13 + 13 + Y + -1y = 13 + 8y Combine like terms: -13 + 13 = 0 0 + Y + -1y = 13 + 8y Y + -1y = 13 + 8y Add 'y' to each side of the equation. Y + -1y + y = 13 + 8y + y Combine like terms: -1y + y = 0 Y + 0 = 13 + 8y + y Y = 13 + 8y + y Combine like terms: 8y + y = 9y Y = 13 + 9y Simplifying Y = 13 + 9y
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