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Simplifying 7y + 7 = -6(y + 4) Reorder the terms: 7 + 7y = -6(y + 4) Reorder the terms: 7 + 7y = -6(4 + y) 7 + 7y = (4 * -6 + y * -6) 7 + 7y = (-24 + -6y) Solving 7 + 7y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 7 + 7y + 6y = -24 + -6y + 6y Combine like terms: 7y + 6y = 13y 7 + 13y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 13y = -24 + 0 7 + 13y = -24 Add '-7' to each side of the equation. 7 + -7 + 13y = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 13y = -24 + -7 13y = -24 + -7 Combine like terms: -24 + -7 = -31 13y = -31 Divide each side by '13'. y = -2.384615385 Simplifying y = -2.384615385
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