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Simplifying 6(5y + -8) + -1(7y + 4) = 0 Reorder the terms: 6(-8 + 5y) + -1(7y + 4) = 0 (-8 * 6 + 5y * 6) + -1(7y + 4) = 0 (-48 + 30y) + -1(7y + 4) = 0 Reorder the terms: -48 + 30y + -1(4 + 7y) = 0 -48 + 30y + (4 * -1 + 7y * -1) = 0 -48 + 30y + (-4 + -7y) = 0 Reorder the terms: -48 + -4 + 30y + -7y = 0 Combine like terms: -48 + -4 = -52 -52 + 30y + -7y = 0 Combine like terms: 30y + -7y = 23y -52 + 23y = 0 Solving -52 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 23y = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 23y = 0 + 52 23y = 0 + 52 Combine like terms: 0 + 52 = 52 23y = 52 Divide each side by '23'. y = 2.260869565 Simplifying y = 2.260869565
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