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