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Simplifying 8(3y + -5) + -6(5y + -2) = 0 Reorder the terms: 8(-5 + 3y) + -6(5y + -2) = 0 (-5 * 8 + 3y * 8) + -6(5y + -2) = 0 (-40 + 24y) + -6(5y + -2) = 0 Reorder the terms: -40 + 24y + -6(-2 + 5y) = 0 -40 + 24y + (-2 * -6 + 5y * -6) = 0 -40 + 24y + (12 + -30y) = 0 Reorder the terms: -40 + 12 + 24y + -30y = 0 Combine like terms: -40 + 12 = -28 -28 + 24y + -30y = 0 Combine like terms: 24y + -30y = -6y -28 + -6y = 0 Solving -28 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -6y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -6y = 0 + 28 -6y = 0 + 28 Combine like terms: 0 + 28 = 28 -6y = 28 Divide each side by '-6'. y = -4.666666667 Simplifying y = -4.666666667
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