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Simplifying 4y + 2(4y + 7) + -14 = 7 + 5y + -3 Reorder the terms: 4y + 2(7 + 4y) + -14 = 7 + 5y + -3 4y + (7 * 2 + 4y * 2) + -14 = 7 + 5y + -3 4y + (14 + 8y) + -14 = 7 + 5y + -3 Reorder the terms: 14 + -14 + 4y + 8y = 7 + 5y + -3 Combine like terms: 14 + -14 = 0 0 + 4y + 8y = 7 + 5y + -3 4y + 8y = 7 + 5y + -3 Combine like terms: 4y + 8y = 12y 12y = 7 + 5y + -3 Reorder the terms: 12y = 7 + -3 + 5y Combine like terms: 7 + -3 = 4 12y = 4 + 5y Solving 12y = 4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 12y + -5y = 4 + 5y + -5y Combine like terms: 12y + -5y = 7y 7y = 4 + 5y + -5y Combine like terms: 5y + -5y = 0 7y = 4 + 0 7y = 4 Divide each side by '7'. y = 0.5714285714 Simplifying y = 0.5714285714
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