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Simplifying 6y + 8 + 3y = 4y + 13 Reorder the terms: 8 + 6y + 3y = 4y + 13 Combine like terms: 6y + 3y = 9y 8 + 9y = 4y + 13 Reorder the terms: 8 + 9y = 13 + 4y Solving 8 + 9y = 13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 9y + -4y = 13 + 4y + -4y Combine like terms: 9y + -4y = 5y 8 + 5y = 13 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 5y = 13 + 0 8 + 5y = 13 Add '-8' to each side of the equation. 8 + -8 + 5y = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 13 + -8 5y = 13 + -8 Combine like terms: 13 + -8 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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