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Simplifying 13(y + -3) = 3(4y + 8) + -115 Reorder the terms: 13(-3 + y) = 3(4y + 8) + -115 (-3 * 13 + y * 13) = 3(4y + 8) + -115 (-39 + 13y) = 3(4y + 8) + -115 Reorder the terms: -39 + 13y = 3(8 + 4y) + -115 -39 + 13y = (8 * 3 + 4y * 3) + -115 -39 + 13y = (24 + 12y) + -115 Reorder the terms: -39 + 13y = 24 + -115 + 12y Combine like terms: 24 + -115 = -91 -39 + 13y = -91 + 12y Solving -39 + 13y = -91 + 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. -39 + 13y + -12y = -91 + 12y + -12y Combine like terms: 13y + -12y = 1y -39 + 1y = -91 + 12y + -12y Combine like terms: 12y + -12y = 0 -39 + 1y = -91 + 0 -39 + 1y = -91 Add '39' to each side of the equation. -39 + 39 + 1y = -91 + 39 Combine like terms: -39 + 39 = 0 0 + 1y = -91 + 39 1y = -91 + 39 Combine like terms: -91 + 39 = -52 1y = -52 Divide each side by '1'. y = -52 Simplifying y = -52
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