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Simplifying 14y + -83 = 2y + 13 Reorder the terms: -83 + 14y = 2y + 13 Reorder the terms: -83 + 14y = 13 + 2y Solving -83 + 14y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -83 + 14y + -2y = 13 + 2y + -2y Combine like terms: 14y + -2y = 12y -83 + 12y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -83 + 12y = 13 + 0 -83 + 12y = 13 Add '83' to each side of the equation. -83 + 83 + 12y = 13 + 83 Combine like terms: -83 + 83 = 0 0 + 12y = 13 + 83 12y = 13 + 83 Combine like terms: 13 + 83 = 96 12y = 96 Divide each side by '12'. y = 8 Simplifying y = 8
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