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Simplifying 6y + 14 = -4(y + 7) Reorder the terms: 14 + 6y = -4(y + 7) Reorder the terms: 14 + 6y = -4(7 + y) 14 + 6y = (7 * -4 + y * -4) 14 + 6y = (-28 + -4y) Solving 14 + 6y = -28 + -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 + 6y + 4y = -28 + -4y + 4y Combine like terms: 6y + 4y = 10y 14 + 10y = -28 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + 10y = -28 + 0 14 + 10y = -28 Add '-14' to each side of the equation. 14 + -14 + 10y = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 10y = -28 + -14 10y = -28 + -14 Combine like terms: -28 + -14 = -42 10y = -42 Divide each side by '10'. y = -4.2 Simplifying y = -4.2
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