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Simplifying 27 + 2y + -8 = 12y + -11 + -4y Reorder the terms: 27 + -8 + 2y = 12y + -11 + -4y Combine like terms: 27 + -8 = 19 19 + 2y = 12y + -11 + -4y Reorder the terms: 19 + 2y = -11 + 12y + -4y Combine like terms: 12y + -4y = 8y 19 + 2y = -11 + 8y Solving 19 + 2y = -11 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 19 + 2y + -8y = -11 + 8y + -8y Combine like terms: 2y + -8y = -6y 19 + -6y = -11 + 8y + -8y Combine like terms: 8y + -8y = 0 19 + -6y = -11 + 0 19 + -6y = -11 Add '-19' to each side of the equation. 19 + -19 + -6y = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -6y = -11 + -19 -6y = -11 + -19 Combine like terms: -11 + -19 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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