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Simplifying 13(y + -4) = 3(4y + 3) + -61 Reorder the terms: 13(-4 + y) = 3(4y + 3) + -61 (-4 * 13 + y * 13) = 3(4y + 3) + -61 (-52 + 13y) = 3(4y + 3) + -61 Reorder the terms: -52 + 13y = 3(3 + 4y) + -61 -52 + 13y = (3 * 3 + 4y * 3) + -61 -52 + 13y = (9 + 12y) + -61 Reorder the terms: -52 + 13y = 9 + -61 + 12y Combine like terms: 9 + -61 = -52 -52 + 13y = -52 + 12y Add '52' to each side of the equation. -52 + 52 + 13y = -52 + 52 + 12y Combine like terms: -52 + 52 = 0 0 + 13y = -52 + 52 + 12y 13y = -52 + 52 + 12y Combine like terms: -52 + 52 = 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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