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Simplifying 8(2y + -5) + -1(7y + 5) = 0 Reorder the terms: 8(-5 + 2y) + -1(7y + 5) = 0 (-5 * 8 + 2y * 8) + -1(7y + 5) = 0 (-40 + 16y) + -1(7y + 5) = 0 Reorder the terms: -40 + 16y + -1(5 + 7y) = 0 -40 + 16y + (5 * -1 + 7y * -1) = 0 -40 + 16y + (-5 + -7y) = 0 Reorder the terms: -40 + -5 + 16y + -7y = 0 Combine like terms: -40 + -5 = -45 -45 + 16y + -7y = 0 Combine like terms: 16y + -7y = 9y -45 + 9y = 0 Solving -45 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 9y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 9y = 0 + 45 9y = 0 + 45 Combine like terms: 0 + 45 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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