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Simplifying 10y + 5 = 8y + 13 Reorder the terms: 5 + 10y = 8y + 13 Reorder the terms: 5 + 10y = 13 + 8y Solving 5 + 10y = 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 + 10y + -8y = 13 + 8y + -8y Combine like terms: 10y + -8y = 2y 5 + 2y = 13 + 8y + -8y Combine like terms: 8y + -8y = 0 5 + 2y = 13 + 0 5 + 2y = 13 Add '-5' to each side of the equation. 5 + -5 + 2y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 13 + -5 2y = 13 + -5 Combine like terms: 13 + -5 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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