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Simplifying 6(y + -6) = 5(y + 8) Reorder the terms: 6(-6 + y) = 5(y + 8) (-6 * 6 + y * 6) = 5(y + 8) (-36 + 6y) = 5(y + 8) Reorder the terms: -36 + 6y = 5(8 + y) -36 + 6y = (8 * 5 + y * 5) -36 + 6y = (40 + 5y) Solving -36 + 6y = 40 + 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 = 40 + 5y + -5y Combine like terms: 6y + -5y = 1y -36 + 1y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 -36 + 1y = 40 + 0 -36 + 1y = 40 Add '36' to each side of the equation. -36 + 36 + 1y = 40 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = 40 + 36 1y = 40 + 36 Combine like terms: 40 + 36 = 76 1y = 76 Divide each side by '1'. y = 76 Simplifying y = 76
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