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Simplifying 14 + 5y = 7(y + 4) Reorder the terms: 14 + 5y = 7(4 + y) 14 + 5y = (4 * 7 + y * 7) 14 + 5y = (28 + 7y) Solving 14 + 5y = 28 + 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 + 5y + -7y = 28 + 7y + -7y Combine like terms: 5y + -7y = -2y 14 + -2y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 14 + -2y = 28 + 0 14 + -2y = 28 Add '-14' to each side of the equation. 14 + -14 + -2y = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = 28 + -14 -2y = 28 + -14 Combine like terms: 28 + -14 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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