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