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Simplifying 7(2y + 4) = 4(y + 2) Reorder the terms: 7(4 + 2y) = 4(y + 2) (4 * 7 + 2y * 7) = 4(y + 2) (28 + 14y) = 4(y + 2) Reorder the terms: 28 + 14y = 4(2 + y) 28 + 14y = (2 * 4 + y * 4) 28 + 14y = (8 + 4y) Solving 28 + 14y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 28 + 14y + -4y = 8 + 4y + -4y Combine like terms: 14y + -4y = 10y 28 + 10y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 28 + 10y = 8 + 0 28 + 10y = 8 Add '-28' to each side of the equation. 28 + -28 + 10y = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 10y = 8 + -28 10y = 8 + -28 Combine like terms: 8 + -28 = -20 10y = -20 Divide each side by '10'. y = -2 Simplifying y = -2
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