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Simplifying 10 + 21 = 6y + 1 Combine like terms: 10 + 21 = 31 31 = 6y + 1 Reorder the terms: 31 = 1 + 6y Solving 31 = 1 + 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. 31 + -6y = 1 + 6y + -6y Combine like terms: 6y + -6y = 0 31 + -6y = 1 + 0 31 + -6y = 1 Add '-31' to each side of the equation. 31 + -31 + -6y = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -6y = 1 + -31 -6y = 1 + -31 Combine like terms: 1 + -31 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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