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Simplifying 31 + 3Y + -9 = 12y + -13 + -4y Reorder the terms: 31 + -9 + 3Y = 12y + -13 + -4y Combine like terms: 31 + -9 = 22 22 + 3Y = 12y + -13 + -4y Reorder the terms: 22 + 3Y = -13 + 12y + -4y Combine like terms: 12y + -4y = 8y 22 + 3Y = -13 + 8y Solving 22 + 3Y = -13 + 8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3Y = -13 + -22 + 8y Combine like terms: 22 + -22 = 0 0 + 3Y = -13 + -22 + 8y 3Y = -13 + -22 + 8y Combine like terms: -13 + -22 = -35 3Y = -35 + 8y Divide each side by '3'. Y = -11.66666667 + 2.666666667y Simplifying Y = -11.66666667 + 2.666666667y
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