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Simplifying 5(3y + -8) + -1(8y + -5) = 0 Reorder the terms: 5(-8 + 3y) + -1(8y + -5) = 0 (-8 * 5 + 3y * 5) + -1(8y + -5) = 0 (-40 + 15y) + -1(8y + -5) = 0 Reorder the terms: -40 + 15y + -1(-5 + 8y) = 0 -40 + 15y + (-5 * -1 + 8y * -1) = 0 -40 + 15y + (5 + -8y) = 0 Reorder the terms: -40 + 5 + 15y + -8y = 0 Combine like terms: -40 + 5 = -35 -35 + 15y + -8y = 0 Combine like terms: 15y + -8y = 7y -35 + 7y = 0 Solving -35 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 7y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7y = 0 + 35 7y = 0 + 35 Combine like terms: 0 + 35 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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