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Simplifying 17 + 5y + -2 = 15y + -9 + -2y Reorder the terms: 17 + -2 + 5y = 15y + -9 + -2y Combine like terms: 17 + -2 = 15 15 + 5y = 15y + -9 + -2y Reorder the terms: 15 + 5y = -9 + 15y + -2y Combine like terms: 15y + -2y = 13y 15 + 5y = -9 + 13y Solving 15 + 5y = -9 + 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. 15 + 5y + -13y = -9 + 13y + -13y Combine like terms: 5y + -13y = -8y 15 + -8y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 15 + -8y = -9 + 0 15 + -8y = -9 Add '-15' to each side of the equation. 15 + -15 + -8y = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = -9 + -15 -8y = -9 + -15 Combine like terms: -9 + -15 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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