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Simplifying 7(y + 2) = 6y + -7 Reorder the terms: 7(2 + y) = 6y + -7 (2 * 7 + y * 7) = 6y + -7 (14 + 7y) = 6y + -7 Reorder the terms: 14 + 7y = -7 + 6y Solving 14 + 7y = -7 + 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. 14 + 7y + -6y = -7 + 6y + -6y Combine like terms: 7y + -6y = 1y 14 + 1y = -7 + 6y + -6y Combine like terms: 6y + -6y = 0 14 + 1y = -7 + 0 14 + 1y = -7 Add '-14' to each side of the equation. 14 + -14 + 1y = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = -7 + -14 1y = -7 + -14 Combine like terms: -7 + -14 = -21 1y = -21 Divide each side by '1'. y = -21 Simplifying y = -21
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