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Simplifying -5(5y + -6) + 4(3y + 8) = 0 Reorder the terms: -5(-6 + 5y) + 4(3y + 8) = 0 (-6 * -5 + 5y * -5) + 4(3y + 8) = 0 (30 + -25y) + 4(3y + 8) = 0 Reorder the terms: 30 + -25y + 4(8 + 3y) = 0 30 + -25y + (8 * 4 + 3y * 4) = 0 30 + -25y + (32 + 12y) = 0 Reorder the terms: 30 + 32 + -25y + 12y = 0 Combine like terms: 30 + 32 = 62 62 + -25y + 12y = 0 Combine like terms: -25y + 12y = -13y 62 + -13y = 0 Solving 62 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -13y = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -13y = 0 + -62 -13y = 0 + -62 Combine like terms: 0 + -62 = -62 -13y = -62 Divide each side by '-13'. y = 4.769230769 Simplifying y = 4.769230769
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