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Simplifying 13(y + -6) = 3(4y + 2) + -84 Reorder the terms: 13(-6 + y) = 3(4y + 2) + -84 (-6 * 13 + y * 13) = 3(4y + 2) + -84 (-78 + 13y) = 3(4y + 2) + -84 Reorder the terms: -78 + 13y = 3(2 + 4y) + -84 -78 + 13y = (2 * 3 + 4y * 3) + -84 -78 + 13y = (6 + 12y) + -84 Reorder the terms: -78 + 13y = 6 + -84 + 12y Combine like terms: 6 + -84 = -78 -78 + 13y = -78 + 12y Add '78' to each side of the equation. -78 + 78 + 13y = -78 + 78 + 12y Combine like terms: -78 + 78 = 0 0 + 13y = -78 + 78 + 12y 13y = -78 + 78 + 12y Combine like terms: -78 + 78 = 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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