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Simplifying (Y + -3) + -1(y + 9) = 6y Reorder the terms: (-3 + Y) + -1(y + 9) = 6y Remove parenthesis around (-3 + Y) -3 + Y + -1(y + 9) = 6y Reorder the terms: -3 + Y + -1(9 + y) = 6y -3 + Y + (9 * -1 + y * -1) = 6y -3 + Y + (-9 + -1y) = 6y Reorder the terms: -3 + -9 + Y + -1y = 6y Combine like terms: -3 + -9 = -12 -12 + Y + -1y = 6y Solving -12 + Y + -1y = 6y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + Y + 12 + -1y = 12 + 6y Reorder the terms: -12 + 12 + Y + -1y = 12 + 6y Combine like terms: -12 + 12 = 0 0 + Y + -1y = 12 + 6y Y + -1y = 12 + 6y Add 'y' to each side of the equation. Y + -1y + y = 12 + 6y + y Combine like terms: -1y + y = 0 Y + 0 = 12 + 6y + y Y = 12 + 6y + y Combine like terms: 6y + y = 7y Y = 12 + 7y Simplifying Y = 12 + 7y
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