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Simplifying 6(7y + -4) + -1(2y + 7) = 0 Reorder the terms: 6(-4 + 7y) + -1(2y + 7) = 0 (-4 * 6 + 7y * 6) + -1(2y + 7) = 0 (-24 + 42y) + -1(2y + 7) = 0 Reorder the terms: -24 + 42y + -1(7 + 2y) = 0 -24 + 42y + (7 * -1 + 2y * -1) = 0 -24 + 42y + (-7 + -2y) = 0 Reorder the terms: -24 + -7 + 42y + -2y = 0 Combine like terms: -24 + -7 = -31 -31 + 42y + -2y = 0 Combine like terms: 42y + -2y = 40y -31 + 40y = 0 Solving -31 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 40y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 40y = 0 + 31 40y = 0 + 31 Combine like terms: 0 + 31 = 31 40y = 31 Divide each side by '40'. y = 0.775 Simplifying y = 0.775
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