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Simplifying 4(2y + -5) + -1(7y + 5) = 0 Reorder the terms: 4(-5 + 2y) + -1(7y + 5) = 0 (-5 * 4 + 2y * 4) + -1(7y + 5) = 0 (-20 + 8y) + -1(7y + 5) = 0 Reorder the terms: -20 + 8y + -1(5 + 7y) = 0 -20 + 8y + (5 * -1 + 7y * -1) = 0 -20 + 8y + (-5 + -7y) = 0 Reorder the terms: -20 + -5 + 8y + -7y = 0 Combine like terms: -20 + -5 = -25 -25 + 8y + -7y = 0 Combine like terms: 8y + -7y = 1y -25 + 1y = 0 Solving -25 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = 0 + 25 1y = 0 + 25 Combine like terms: 0 + 25 = 25 1y = 25 Divide each side by '1'. y = 25 Simplifying y = 25
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