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Simplifying 13(y + -7) = 3(4y + 6) + -109 Reorder the terms: 13(-7 + y) = 3(4y + 6) + -109 (-7 * 13 + y * 13) = 3(4y + 6) + -109 (-91 + 13y) = 3(4y + 6) + -109 Reorder the terms: -91 + 13y = 3(6 + 4y) + -109 -91 + 13y = (6 * 3 + 4y * 3) + -109 -91 + 13y = (18 + 12y) + -109 Reorder the terms: -91 + 13y = 18 + -109 + 12y Combine like terms: 18 + -109 = -91 -91 + 13y = -91 + 12y Add '91' to each side of the equation. -91 + 91 + 13y = -91 + 91 + 12y Combine like terms: -91 + 91 = 0 0 + 13y = -91 + 91 + 12y 13y = -91 + 91 + 12y Combine like terms: -91 + 91 = 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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