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Simplifying -6(6y + 5) + 5(y + -5) = 0 Reorder the terms: -6(5 + 6y) + 5(y + -5) = 0 (5 * -6 + 6y * -6) + 5(y + -5) = 0 (-30 + -36y) + 5(y + -5) = 0 Reorder the terms: -30 + -36y + 5(-5 + y) = 0 -30 + -36y + (-5 * 5 + y * 5) = 0 -30 + -36y + (-25 + 5y) = 0 Reorder the terms: -30 + -25 + -36y + 5y = 0 Combine like terms: -30 + -25 = -55 -55 + -36y + 5y = 0 Combine like terms: -36y + 5y = -31y -55 + -31y = 0 Solving -55 + -31y = 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 + -31y = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -31y = 0 + 55 -31y = 0 + 55 Combine like terms: 0 + 55 = 55 -31y = 55 Divide each side by '-31'. y = -1.774193548 Simplifying y = -1.774193548
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