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Simplifying y + 13 = 2y + 5 Reorder the terms: 13 + y = 2y + 5 Reorder the terms: 13 + y = 5 + 2y Solving 13 + y = 5 + 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. 13 + y + -2y = 5 + 2y + -2y Combine like terms: y + -2y = -1y 13 + -1y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + -1y = 5 + 0 13 + -1y = 5 Add '-13' to each side of the equation. 13 + -13 + -1y = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 5 + -13 -1y = 5 + -13 Combine like terms: 5 + -13 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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