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Simplifying 4(5y + -7) + -1(7y + 6) = 0 Reorder the terms: 4(-7 + 5y) + -1(7y + 6) = 0 (-7 * 4 + 5y * 4) + -1(7y + 6) = 0 (-28 + 20y) + -1(7y + 6) = 0 Reorder the terms: -28 + 20y + -1(6 + 7y) = 0 -28 + 20y + (6 * -1 + 7y * -1) = 0 -28 + 20y + (-6 + -7y) = 0 Reorder the terms: -28 + -6 + 20y + -7y = 0 Combine like terms: -28 + -6 = -34 -34 + 20y + -7y = 0 Combine like terms: 20y + -7y = 13y -34 + 13y = 0 Solving -34 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 13y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 13y = 0 + 34 13y = 0 + 34 Combine like terms: 0 + 34 = 34 13y = 34 Divide each side by '13'. y = 2.615384615 Simplifying y = 2.615384615
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