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Simplifying 6y + 49 = -7(y + 6) Reorder the terms: 49 + 6y = -7(y + 6) Reorder the terms: 49 + 6y = -7(6 + y) 49 + 6y = (6 * -7 + y * -7) 49 + 6y = (-42 + -7y) Solving 49 + 6y = -42 + -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. 49 + 6y + 7y = -42 + -7y + 7y Combine like terms: 6y + 7y = 13y 49 + 13y = -42 + -7y + 7y Combine like terms: -7y + 7y = 0 49 + 13y = -42 + 0 49 + 13y = -42 Add '-49' to each side of the equation. 49 + -49 + 13y = -42 + -49 Combine like terms: 49 + -49 = 0 0 + 13y = -42 + -49 13y = -42 + -49 Combine like terms: -42 + -49 = -91 13y = -91 Divide each side by '13'. y = -7 Simplifying y = -7
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