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Simplifying 2(3y + 4) = -7(y + 5) Reorder the terms: 2(4 + 3y) = -7(y + 5) (4 * 2 + 3y * 2) = -7(y + 5) (8 + 6y) = -7(y + 5) Reorder the terms: 8 + 6y = -7(5 + y) 8 + 6y = (5 * -7 + y * -7) 8 + 6y = (-35 + -7y) Solving 8 + 6y = -35 + -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. 8 + 6y + 7y = -35 + -7y + 7y Combine like terms: 6y + 7y = 13y 8 + 13y = -35 + -7y + 7y Combine like terms: -7y + 7y = 0 8 + 13y = -35 + 0 8 + 13y = -35 Add '-8' to each side of the equation. 8 + -8 + 13y = -35 + -8 Combine like terms: 8 + -8 = 0 0 + 13y = -35 + -8 13y = -35 + -8 Combine like terms: -35 + -8 = -43 13y = -43 Divide each side by '13'. y = -3.307692308 Simplifying y = -3.307692308
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