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Simplifying 13(y + -5) = 3(4y + 9) + -92 Reorder the terms: 13(-5 + y) = 3(4y + 9) + -92 (-5 * 13 + y * 13) = 3(4y + 9) + -92 (-65 + 13y) = 3(4y + 9) + -92 Reorder the terms: -65 + 13y = 3(9 + 4y) + -92 -65 + 13y = (9 * 3 + 4y * 3) + -92 -65 + 13y = (27 + 12y) + -92 Reorder the terms: -65 + 13y = 27 + -92 + 12y Combine like terms: 27 + -92 = -65 -65 + 13y = -65 + 12y Add '65' to each side of the equation. -65 + 65 + 13y = -65 + 65 + 12y Combine like terms: -65 + 65 = 0 0 + 13y = -65 + 65 + 12y 13y = -65 + 65 + 12y Combine like terms: -65 + 65 = 0 13y = 0 + 12y 13y = 12y Solving 13y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 13y + -12y = 12y + -12y Combine like terms: 13y + -12y = 1y 1y = 12y + -12y Combine like terms: 12y + -12y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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