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Simplifying 5(6y + -8) + -1(4y + 9) = 0 Reorder the terms: 5(-8 + 6y) + -1(4y + 9) = 0 (-8 * 5 + 6y * 5) + -1(4y + 9) = 0 (-40 + 30y) + -1(4y + 9) = 0 Reorder the terms: -40 + 30y + -1(9 + 4y) = 0 -40 + 30y + (9 * -1 + 4y * -1) = 0 -40 + 30y + (-9 + -4y) = 0 Reorder the terms: -40 + -9 + 30y + -4y = 0 Combine like terms: -40 + -9 = -49 -49 + 30y + -4y = 0 Combine like terms: 30y + -4y = 26y -49 + 26y = 0 Solving -49 + 26y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 26y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 26y = 0 + 49 26y = 0 + 49 Combine like terms: 0 + 49 = 49 26y = 49 Divide each side by '26'. y = 1.884615385 Simplifying y = 1.884615385
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