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Simplifying 5(4y + -7) + -1(6y + 8) = 0 Reorder the terms: 5(-7 + 4y) + -1(6y + 8) = 0 (-7 * 5 + 4y * 5) + -1(6y + 8) = 0 (-35 + 20y) + -1(6y + 8) = 0 Reorder the terms: -35 + 20y + -1(8 + 6y) = 0 -35 + 20y + (8 * -1 + 6y * -1) = 0 -35 + 20y + (-8 + -6y) = 0 Reorder the terms: -35 + -8 + 20y + -6y = 0 Combine like terms: -35 + -8 = -43 -43 + 20y + -6y = 0 Combine like terms: 20y + -6y = 14y -43 + 14y = 0 Solving -43 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 14y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 14y = 0 + 43 14y = 0 + 43 Combine like terms: 0 + 43 = 43 14y = 43 Divide each side by '14'. y = 3.071428571 Simplifying y = 3.071428571
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