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Simplifying -40 + -6y + 17 = -31y + 120 + 14y Reorder the terms: -40 + 17 + -6y = -31y + 120 + 14y Combine like terms: -40 + 17 = -23 -23 + -6y = -31y + 120 + 14y Reorder the terms: -23 + -6y = 120 + -31y + 14y Combine like terms: -31y + 14y = -17y -23 + -6y = 120 + -17y Solving -23 + -6y = 120 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -23 + -6y + 17y = 120 + -17y + 17y Combine like terms: -6y + 17y = 11y -23 + 11y = 120 + -17y + 17y Combine like terms: -17y + 17y = 0 -23 + 11y = 120 + 0 -23 + 11y = 120 Add '23' to each side of the equation. -23 + 23 + 11y = 120 + 23 Combine like terms: -23 + 23 = 0 0 + 11y = 120 + 23 11y = 120 + 23 Combine like terms: 120 + 23 = 143 11y = 143 Divide each side by '11'. y = 13 Simplifying y = 13
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