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Simplifying 6(5y + -8) + -1(6y + 3) = 0 Reorder the terms: 6(-8 + 5y) + -1(6y + 3) = 0 (-8 * 6 + 5y * 6) + -1(6y + 3) = 0 (-48 + 30y) + -1(6y + 3) = 0 Reorder the terms: -48 + 30y + -1(3 + 6y) = 0 -48 + 30y + (3 * -1 + 6y * -1) = 0 -48 + 30y + (-3 + -6y) = 0 Reorder the terms: -48 + -3 + 30y + -6y = 0 Combine like terms: -48 + -3 = -51 -51 + 30y + -6y = 0 Combine like terms: 30y + -6y = 24y -51 + 24y = 0 Solving -51 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 24y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 24y = 0 + 51 24y = 0 + 51 Combine like terms: 0 + 51 = 51 24y = 51 Divide each side by '24'. y = 2.125 Simplifying y = 2.125
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