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Simplifying 7(y + 2) = 5y + -4 Reorder the terms: 7(2 + y) = 5y + -4 (2 * 7 + y * 7) = 5y + -4 (14 + 7y) = 5y + -4 Reorder the terms: 14 + 7y = -4 + 5y Solving 14 + 7y = -4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 14 + 7y + -5y = -4 + 5y + -5y Combine like terms: 7y + -5y = 2y 14 + 2y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + 2y = -4 + 0 14 + 2y = -4 Add '-14' to each side of the equation. 14 + -14 + 2y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = -4 + -14 2y = -4 + -14 Combine like terms: -4 + -14 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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