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Simplifying 7(y + 1) = 6y + -9 Reorder the terms: 7(1 + y) = 6y + -9 (1 * 7 + y * 7) = 6y + -9 (7 + 7y) = 6y + -9 Reorder the terms: 7 + 7y = -9 + 6y Solving 7 + 7y = -9 + 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 = -9 + 6y + -6y Combine like terms: 7y + -6y = 1y 7 + 1y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + 1y = -9 + 0 7 + 1y = -9 Add '-7' to each side of the equation. 7 + -7 + 1y = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = -9 + -7 1y = -9 + -7 Combine like terms: -9 + -7 = -16 1y = -16 Divide each side by '1'. y = -16 Simplifying y = -16
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