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Simplifying 14y + 14 + -3y = 46 + 7y Reorder the terms: 14 + 14y + -3y = 46 + 7y Combine like terms: 14y + -3y = 11y 14 + 11y = 46 + 7y Solving 14 + 11y = 46 + 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. 14 + 11y + -7y = 46 + 7y + -7y Combine like terms: 11y + -7y = 4y 14 + 4y = 46 + 7y + -7y Combine like terms: 7y + -7y = 0 14 + 4y = 46 + 0 14 + 4y = 46 Add '-14' to each side of the equation. 14 + -14 + 4y = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 4y = 46 + -14 4y = 46 + -14 Combine like terms: 46 + -14 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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