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Simplifying 10 + y = 40 + -5y Solving 10 + y = 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. 10 + y + 5y = 40 + -5y + 5y Combine like terms: y + 5y = 6y 10 + 6y = 40 + -5y + 5y Combine like terms: -5y + 5y = 0 10 + 6y = 40 + 0 10 + 6y = 40 Add '-10' to each side of the equation. 10 + -10 + 6y = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 6y = 40 + -10 6y = 40 + -10 Combine like terms: 40 + -10 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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