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Simplifying -9(5y + -6) + 4(3 + 5y) = 0 Reorder the terms: -9(-6 + 5y) + 4(3 + 5y) = 0 (-6 * -9 + 5y * -9) + 4(3 + 5y) = 0 (54 + -45y) + 4(3 + 5y) = 0 54 + -45y + (3 * 4 + 5y * 4) = 0 54 + -45y + (12 + 20y) = 0 Reorder the terms: 54 + 12 + -45y + 20y = 0 Combine like terms: 54 + 12 = 66 66 + -45y + 20y = 0 Combine like terms: -45y + 20y = -25y 66 + -25y = 0 Solving 66 + -25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -25y = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -25y = 0 + -66 -25y = 0 + -66 Combine like terms: 0 + -66 = -66 -25y = -66 Divide each side by '-25'. y = 2.64 Simplifying y = 2.64
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