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Simplifying 5y + -10 + y + 30 = 6y + 20 + -3y Reorder the terms: -10 + 30 + 5y + y = 6y + 20 + -3y Combine like terms: -10 + 30 = 20 20 + 5y + y = 6y + 20 + -3y Combine like terms: 5y + y = 6y 20 + 6y = 6y + 20 + -3y Reorder the terms: 20 + 6y = 20 + 6y + -3y Combine like terms: 6y + -3y = 3y 20 + 6y = 20 + 3y Add '-20' to each side of the equation. 20 + -20 + 6y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 0 + 6y = 20 + -20 + 3y 6y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 6y = 0 + 3y 6y = 3y Solving 6y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6y + -3y = 3y + -3y Combine like terms: 6y + -3y = 3y 3y = 3y + -3y Combine like terms: 3y + -3y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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