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Simplifying 31 + 99 = 82 + y Combine like terms: 31 + 99 = 130 130 = 82 + y Solving 130 = 82 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 130 + -1y = 82 + y + -1y Combine like terms: y + -1y = 0 130 + -1y = 82 + 0 130 + -1y = 82 Add '-130' to each side of the equation. 130 + -130 + -1y = 82 + -130 Combine like terms: 130 + -130 = 0 0 + -1y = 82 + -130 -1y = 82 + -130 Combine like terms: 82 + -130 = -48 -1y = -48 Divide each side by '-1'. y = 48 Simplifying y = 48
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