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Simplifying 3y + 8 = 2y + 13 Reorder the terms: 8 + 3y = 2y + 13 Reorder the terms: 8 + 3y = 13 + 2y Solving 8 + 3y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 3y + -2y = 13 + 2y + -2y Combine like terms: 3y + -2y = 1y 8 + 1y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 1y = 13 + 0 8 + 1y = 13 Add '-8' to each side of the equation. 8 + -8 + 1y = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 13 + -8 1y = 13 + -8 Combine like terms: 13 + -8 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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