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Simplifying 33 = 6(2Y + -8) + -3Y Reorder the terms: 33 = 6(-8 + 2Y) + -3Y 33 = (-8 * 6 + 2Y * 6) + -3Y 33 = (-48 + 12Y) + -3Y Combine like terms: 12Y + -3Y = 9Y 33 = -48 + 9Y Solving 33 = -48 + 9Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9Y' to each side of the equation. 33 + -9Y = -48 + 9Y + -9Y Combine like terms: 9Y + -9Y = 0 33 + -9Y = -48 + 0 33 + -9Y = -48 Add '-33' to each side of the equation. 33 + -33 + -9Y = -48 + -33 Combine like terms: 33 + -33 = 0 0 + -9Y = -48 + -33 -9Y = -48 + -33 Combine like terms: -48 + -33 = -81 -9Y = -81 Divide each side by '-9'. Y = 9 Simplifying Y = 9
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