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Simplifying (Y + 1) + (y + -9) = 2(5y + -6) + -8y Reorder the terms: (1 + Y) + (y + -9) = 2(5y + -6) + -8y Remove parenthesis around (1 + Y) 1 + Y + (y + -9) = 2(5y + -6) + -8y Reorder the terms: 1 + Y + (-9 + y) = 2(5y + -6) + -8y Remove parenthesis around (-9 + y) 1 + Y + -9 + y = 2(5y + -6) + -8y Reorder the terms: 1 + -9 + Y + y = 2(5y + -6) + -8y Combine like terms: 1 + -9 = -8 -8 + Y + y = 2(5y + -6) + -8y Reorder the terms: -8 + Y + y = 2(-6 + 5y) + -8y -8 + Y + y = (-6 * 2 + 5y * 2) + -8y -8 + Y + y = (-12 + 10y) + -8y Combine like terms: 10y + -8y = 2y -8 + Y + y = -12 + 2y Solving -8 + Y + y = -12 + 2y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + Y + 8 + y = -12 + 8 + 2y Reorder the terms: -8 + 8 + Y + y = -12 + 8 + 2y Combine like terms: -8 + 8 = 0 0 + Y + y = -12 + 8 + 2y Y + y = -12 + 8 + 2y Combine like terms: -12 + 8 = -4 Y + y = -4 + 2y Add '-1y' to each side of the equation. Y + y + -1y = -4 + 2y + -1y Combine like terms: y + -1y = 0 Y + 0 = -4 + 2y + -1y Y = -4 + 2y + -1y Combine like terms: 2y + -1y = 1y Y = -4 + 1y Simplifying Y = -4 + 1y
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