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Simplifying -5(5y + -7) + 4(3y + 9) = 0 Reorder the terms: -5(-7 + 5y) + 4(3y + 9) = 0 (-7 * -5 + 5y * -5) + 4(3y + 9) = 0 (35 + -25y) + 4(3y + 9) = 0 Reorder the terms: 35 + -25y + 4(9 + 3y) = 0 35 + -25y + (9 * 4 + 3y * 4) = 0 35 + -25y + (36 + 12y) = 0 Reorder the terms: 35 + 36 + -25y + 12y = 0 Combine like terms: 35 + 36 = 71 71 + -25y + 12y = 0 Combine like terms: -25y + 12y = -13y 71 + -13y = 0 Solving 71 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -13y = 0 + -71 Combine like terms: 71 + -71 = 0 0 + -13y = 0 + -71 -13y = 0 + -71 Combine like terms: 0 + -71 = -71 -13y = -71 Divide each side by '-13'. y = 5.461538462 Simplifying y = 5.461538462
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