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Simplifying -6(6y + 1) = 5y + -6 Reorder the terms: -6(1 + 6y) = 5y + -6 (1 * -6 + 6y * -6) = 5y + -6 (-6 + -36y) = 5y + -6 Reorder the terms: -6 + -36y = -6 + 5y Add '6' to each side of the equation. -6 + 6 + -36y = -6 + 6 + 5y Combine like terms: -6 + 6 = 0 0 + -36y = -6 + 6 + 5y -36y = -6 + 6 + 5y Combine like terms: -6 + 6 = 0 -36y = 0 + 5y -36y = 5y Solving -36y = 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -36y + -5y = 5y + -5y Combine like terms: -36y + -5y = -41y -41y = 5y + -5y Combine like terms: 5y + -5y = 0 -41y = 0 Divide each side by '-41'. y = 0 Simplifying y = 0
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