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Simplifying 7y + 14 = -4(y + 2) Reorder the terms: 14 + 7y = -4(y + 2) Reorder the terms: 14 + 7y = -4(2 + y) 14 + 7y = (2 * -4 + y * -4) 14 + 7y = (-8 + -4y) Solving 14 + 7y = -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. 14 + 7y + 4y = -8 + -4y + 4y Combine like terms: 7y + 4y = 11y 14 + 11y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + 11y = -8 + 0 14 + 11y = -8 Add '-14' to each side of the equation. 14 + -14 + 11y = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 11y = -8 + -14 11y = -8 + -14 Combine like terms: -8 + -14 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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