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Simplifying 14(y + -6) = 7y Reorder the terms: 14(-6 + y) = 7y (-6 * 14 + y * 14) = 7y (-84 + 14y) = 7y Solving -84 + 14y = 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. -84 + 14y + -7y = 7y + -7y Combine like terms: 14y + -7y = 7y -84 + 7y = 7y + -7y Combine like terms: 7y + -7y = 0 -84 + 7y = 0 Add '84' to each side of the equation. -84 + 84 + 7y = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 7y = 0 + 84 7y = 0 + 84 Combine like terms: 0 + 84 = 84 7y = 84 Divide each side by '7'. y = 12 Simplifying y = 12
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