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Simplifying 5(y + 8) = 6y + 40 Reorder the terms: 5(8 + y) = 6y + 40 (8 * 5 + y * 5) = 6y + 40 (40 + 5y) = 6y + 40 Reorder the terms: 40 + 5y = 40 + 6y Add '-40' to each side of the equation. 40 + -40 + 5y = 40 + -40 + 6y Combine like terms: 40 + -40 = 0 0 + 5y = 40 + -40 + 6y 5y = 40 + -40 + 6y Combine like terms: 40 + -40 = 0 5y = 0 + 6y 5y = 6y Solving 5y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5y + -6y = 6y + -6y Combine like terms: 5y + -6y = -1y -1y = 6y + -6y Combine like terms: 6y + -6y = 0 -1y = 0 Divide each side by '-1'. y = 0 Simplifying y = 0
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