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Simplifying -4(y + -7) + 2(3y + -1) = 0 Reorder the terms: -4(-7 + y) + 2(3y + -1) = 0 (-7 * -4 + y * -4) + 2(3y + -1) = 0 (28 + -4y) + 2(3y + -1) = 0 Reorder the terms: 28 + -4y + 2(-1 + 3y) = 0 28 + -4y + (-1 * 2 + 3y * 2) = 0 28 + -4y + (-2 + 6y) = 0 Reorder the terms: 28 + -2 + -4y + 6y = 0 Combine like terms: 28 + -2 = 26 26 + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 26 + 2y = 0 Solving 26 + 2y = 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 + 2y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 2y = 0 + -26 2y = 0 + -26 Combine like terms: 0 + -26 = -26 2y = -26 Divide each side by '2'. y = -13 Simplifying y = -13
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