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Simplifying -5(3y + -7) + 4(2y + 5) = 0 Reorder the terms: -5(-7 + 3y) + 4(2y + 5) = 0 (-7 * -5 + 3y * -5) + 4(2y + 5) = 0 (35 + -15y) + 4(2y + 5) = 0 Reorder the terms: 35 + -15y + 4(5 + 2y) = 0 35 + -15y + (5 * 4 + 2y * 4) = 0 35 + -15y + (20 + 8y) = 0 Reorder the terms: 35 + 20 + -15y + 8y = 0 Combine like terms: 35 + 20 = 55 55 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 55 + -7y = 0 Solving 55 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -7y = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -7y = 0 + -55 -7y = 0 + -55 Combine like terms: 0 + -55 = -55 -7y = -55 Divide each side by '-7'. y = 7.857142857 Simplifying y = 7.857142857
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