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Simplifying 29 + 5y + -2 = 15y + -13 + -2y Reorder the terms: 29 + -2 + 5y = 15y + -13 + -2y Combine like terms: 29 + -2 = 27 27 + 5y = 15y + -13 + -2y Reorder the terms: 27 + 5y = -13 + 15y + -2y Combine like terms: 15y + -2y = 13y 27 + 5y = -13 + 13y Solving 27 + 5y = -13 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 27 + 5y + -13y = -13 + 13y + -13y Combine like terms: 5y + -13y = -8y 27 + -8y = -13 + 13y + -13y Combine like terms: 13y + -13y = 0 27 + -8y = -13 + 0 27 + -8y = -13 Add '-27' to each side of the equation. 27 + -27 + -8y = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -8y = -13 + -27 -8y = -13 + -27 Combine like terms: -13 + -27 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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