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Simplifying 6(4y + -4) + -1(8y + 7) = 0 Reorder the terms: 6(-4 + 4y) + -1(8y + 7) = 0 (-4 * 6 + 4y * 6) + -1(8y + 7) = 0 (-24 + 24y) + -1(8y + 7) = 0 Reorder the terms: -24 + 24y + -1(7 + 8y) = 0 -24 + 24y + (7 * -1 + 8y * -1) = 0 -24 + 24y + (-7 + -8y) = 0 Reorder the terms: -24 + -7 + 24y + -8y = 0 Combine like terms: -24 + -7 = -31 -31 + 24y + -8y = 0 Combine like terms: 24y + -8y = 16y -31 + 16y = 0 Solving -31 + 16y = 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 + 16y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 16y = 0 + 31 16y = 0 + 31 Combine like terms: 0 + 31 = 31 16y = 31 Divide each side by '16'. y = 1.9375 Simplifying y = 1.9375
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