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Simplifying 6(7y + -4) + -1(2y + 9) = 0 Reorder the terms: 6(-4 + 7y) + -1(2y + 9) = 0 (-4 * 6 + 7y * 6) + -1(2y + 9) = 0 (-24 + 42y) + -1(2y + 9) = 0 Reorder the terms: -24 + 42y + -1(9 + 2y) = 0 -24 + 42y + (9 * -1 + 2y * -1) = 0 -24 + 42y + (-9 + -2y) = 0 Reorder the terms: -24 + -9 + 42y + -2y = 0 Combine like terms: -24 + -9 = -33 -33 + 42y + -2y = 0 Combine like terms: 42y + -2y = 40y -33 + 40y = 0 Solving -33 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 40y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 40y = 0 + 33 40y = 0 + 33 Combine like terms: 0 + 33 = 33 40y = 33 Divide each side by '40'. y = 0.825 Simplifying y = 0.825
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