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Simplifying 7 + 14y + -6 = 9y + 29 + -2y Reorder the terms: 7 + -6 + 14y = 9y + 29 + -2y Combine like terms: 7 + -6 = 1 1 + 14y = 9y + 29 + -2y Reorder the terms: 1 + 14y = 29 + 9y + -2y Combine like terms: 9y + -2y = 7y 1 + 14y = 29 + 7y Solving 1 + 14y = 29 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 1 + 14y + -7y = 29 + 7y + -7y Combine like terms: 14y + -7y = 7y 1 + 7y = 29 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + 7y = 29 + 0 1 + 7y = 29 Add '-1' to each side of the equation. 1 + -1 + 7y = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 29 + -1 7y = 29 + -1 Combine like terms: 29 + -1 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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