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