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Simplifying 6 + -6(y + 1) = 3 + 7y Reorder the terms: 6 + -6(1 + y) = 3 + 7y 6 + (1 * -6 + y * -6) = 3 + 7y 6 + (-6 + -6y) = 3 + 7y Combine like terms: 6 + -6 = 0 0 + -6y = 3 + 7y -6y = 3 + 7y Solving -6y = 3 + 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. -6y + -7y = 3 + 7y + -7y Combine like terms: -6y + -7y = -13y -13y = 3 + 7y + -7y Combine like terms: 7y + -7y = 0 -13y = 3 + 0 -13y = 3 Divide each side by '-13'. y = -0.2307692308 Simplifying y = -0.2307692308
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