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Simplifying Y + -2(6 + -1y) = 2y + -1(3 + -9y) Y + (6 * -2 + -1y * -2) = 2y + -1(3 + -9y) Y + (-12 + 2y) = 2y + -1(3 + -9y) Reorder the terms: -12 + Y + 2y = 2y + -1(3 + -9y) -12 + Y + 2y = 2y + (3 * -1 + -9y * -1) -12 + Y + 2y = 2y + (-3 + 9y) Reorder the terms: -12 + Y + 2y = -3 + 2y + 9y Combine like terms: 2y + 9y = 11y -12 + Y + 2y = -3 + 11y Solving -12 + Y + 2y = -3 + 11y 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 + 2y = -3 + 12 + 11y Reorder the terms: -12 + 12 + Y + 2y = -3 + 12 + 11y Combine like terms: -12 + 12 = 0 0 + Y + 2y = -3 + 12 + 11y Y + 2y = -3 + 12 + 11y Combine like terms: -3 + 12 = 9 Y + 2y = 9 + 11y Add '-2y' to each side of the equation. Y + 2y + -2y = 9 + 11y + -2y Combine like terms: 2y + -2y = 0 Y + 0 = 9 + 11y + -2y Y = 9 + 11y + -2y Combine like terms: 11y + -2y = 9y Y = 9 + 9y Simplifying Y = 9 + 9y
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