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Simplifying 4(8y + -5) + -1(5y + 7) = 0 Reorder the terms: 4(-5 + 8y) + -1(5y + 7) = 0 (-5 * 4 + 8y * 4) + -1(5y + 7) = 0 (-20 + 32y) + -1(5y + 7) = 0 Reorder the terms: -20 + 32y + -1(7 + 5y) = 0 -20 + 32y + (7 * -1 + 5y * -1) = 0 -20 + 32y + (-7 + -5y) = 0 Reorder the terms: -20 + -7 + 32y + -5y = 0 Combine like terms: -20 + -7 = -27 -27 + 32y + -5y = 0 Combine like terms: 32y + -5y = 27y -27 + 27y = 0 Solving -27 + 27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 27y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 27y = 0 + 27 27y = 0 + 27 Combine like terms: 0 + 27 = 27 27y = 27 Divide each side by '27'. y = 1 Simplifying y = 1
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