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Simplifying -31 + -12y + 12 = -30y + 41 + 13y Reorder the terms: -31 + 12 + -12y = -30y + 41 + 13y Combine like terms: -31 + 12 = -19 -19 + -12y = -30y + 41 + 13y Reorder the terms: -19 + -12y = 41 + -30y + 13y Combine like terms: -30y + 13y = -17y -19 + -12y = 41 + -17y Solving -19 + -12y = 41 + -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. -19 + -12y + 17y = 41 + -17y + 17y Combine like terms: -12y + 17y = 5y -19 + 5y = 41 + -17y + 17y Combine like terms: -17y + 17y = 0 -19 + 5y = 41 + 0 -19 + 5y = 41 Add '19' to each side of the equation. -19 + 19 + 5y = 41 + 19 Combine like terms: -19 + 19 = 0 0 + 5y = 41 + 19 5y = 41 + 19 Combine like terms: 41 + 19 = 60 5y = 60 Divide each side by '5'. y = 12 Simplifying y = 12
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