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Simplifying 6 + 14y + -3 = 9y + 52 + -2y Reorder the terms: 6 + -3 + 14y = 9y + 52 + -2y Combine like terms: 6 + -3 = 3 3 + 14y = 9y + 52 + -2y Reorder the terms: 3 + 14y = 52 + 9y + -2y Combine like terms: 9y + -2y = 7y 3 + 14y = 52 + 7y Solving 3 + 14y = 52 + 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. 3 + 14y + -7y = 52 + 7y + -7y Combine like terms: 14y + -7y = 7y 3 + 7y = 52 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + 7y = 52 + 0 3 + 7y = 52 Add '-3' to each side of the equation. 3 + -3 + 7y = 52 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 52 + -3 7y = 52 + -3 Combine like terms: 52 + -3 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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