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Simplifying -2y + 14y + 3 = 8y + 27 Reorder the terms: 3 + -2y + 14y = 8y + 27 Combine like terms: -2y + 14y = 12y 3 + 12y = 8y + 27 Reorder the terms: 3 + 12y = 27 + 8y Solving 3 + 12y = 27 + 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. 3 + 12y + -8y = 27 + 8y + -8y Combine like terms: 12y + -8y = 4y 3 + 4y = 27 + 8y + -8y Combine like terms: 8y + -8y = 0 3 + 4y = 27 + 0 3 + 4y = 27 Add '-3' to each side of the equation. 3 + -3 + 4y = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 27 + -3 4y = 27 + -3 Combine like terms: 27 + -3 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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