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Simplifying 27 + 5y + -6 = 15y + -11 + -2y Reorder the terms: 27 + -6 + 5y = 15y + -11 + -2y Combine like terms: 27 + -6 = 21 21 + 5y = 15y + -11 + -2y Reorder the terms: 21 + 5y = -11 + 15y + -2y Combine like terms: 15y + -2y = 13y 21 + 5y = -11 + 13y Solving 21 + 5y = -11 + 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. 21 + 5y + -13y = -11 + 13y + -13y Combine like terms: 5y + -13y = -8y 21 + -8y = -11 + 13y + -13y Combine like terms: 13y + -13y = 0 21 + -8y = -11 + 0 21 + -8y = -11 Add '-21' to each side of the equation. 21 + -21 + -8y = -11 + -21 Combine like terms: 21 + -21 = 0 0 + -8y = -11 + -21 -8y = -11 + -21 Combine like terms: -11 + -21 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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