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Simplifying 4(3y + -7) + -1(13y + -2) = 0 Reorder the terms: 4(-7 + 3y) + -1(13y + -2) = 0 (-7 * 4 + 3y * 4) + -1(13y + -2) = 0 (-28 + 12y) + -1(13y + -2) = 0 Reorder the terms: -28 + 12y + -1(-2 + 13y) = 0 -28 + 12y + (-2 * -1 + 13y * -1) = 0 -28 + 12y + (2 + -13y) = 0 Reorder the terms: -28 + 2 + 12y + -13y = 0 Combine like terms: -28 + 2 = -26 -26 + 12y + -13y = 0 Combine like terms: 12y + -13y = -1y -26 + -1y = 0 Solving -26 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1y = 0 + 26 -1y = 0 + 26 Combine like terms: 0 + 26 = 26 -1y = 26 Divide each side by '-1'. y = -26 Simplifying y = -26
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