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Simplifying 6(6 + y) = 5(y + -4) (6 * 6 + y * 6) = 5(y + -4) (36 + 6y) = 5(y + -4) Reorder the terms: 36 + 6y = 5(-4 + y) 36 + 6y = (-4 * 5 + y * 5) 36 + 6y = (-20 + 5y) Solving 36 + 6y = -20 + 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. 36 + 6y + -5y = -20 + 5y + -5y Combine like terms: 6y + -5y = 1y 36 + 1y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 36 + 1y = -20 + 0 36 + 1y = -20 Add '-36' to each side of the equation. 36 + -36 + 1y = -20 + -36 Combine like terms: 36 + -36 = 0 0 + 1y = -20 + -36 1y = -20 + -36 Combine like terms: -20 + -36 = -56 1y = -56 Divide each side by '1'. y = -56 Simplifying y = -56
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