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Simplifying 180 = (4x + -2Y) + (8x + -11y) + (6x + -5y) Reorder the terms: 180 = (-2Y + 4x) + (8x + -11y) + (6x + -5y) Remove parenthesis around (-2Y + 4x) 180 = -2Y + 4x + (8x + -11y) + (6x + -5y) Remove parenthesis around (8x + -11y) 180 = -2Y + 4x + 8x + -11y + (6x + -5y) Remove parenthesis around (6x + -5y) 180 = -2Y + 4x + 8x + -11y + 6x + -5y Reorder the terms: 180 = -2Y + 4x + 8x + 6x + -11y + -5y Combine like terms: 4x + 8x = 12x 180 = -2Y + 12x + 6x + -11y + -5y Combine like terms: 12x + 6x = 18x 180 = -2Y + 18x + -11y + -5y Combine like terms: -11y + -5y = -16y 180 = -2Y + 18x + -16y Solving 180 = -2Y + 18x + -16y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '2Y' to each side of the equation. 180 + 2Y = -2Y + 18x + 2Y + -16y Reorder the terms: 180 + 2Y = -2Y + 2Y + 18x + -16y Combine like terms: -2Y + 2Y = 0 180 + 2Y = 0 + 18x + -16y 180 + 2Y = 18x + -16y Add '-180' to each side of the equation. 180 + -180 + 2Y = 18x + -180 + -16y Combine like terms: 180 + -180 = 0 0 + 2Y = 18x + -180 + -16y 2Y = 18x + -180 + -16y Reorder the terms: 2Y = -180 + 18x + -16y Divide each side by '2'. Y = -90 + 9x + -8y Simplifying Y = -90 + 9x + -8y
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