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Simplifying -6(y + -2) = 7(y + -2) Reorder the terms: -6(-2 + y) = 7(y + -2) (-2 * -6 + y * -6) = 7(y + -2) (12 + -6y) = 7(y + -2) Reorder the terms: 12 + -6y = 7(-2 + y) 12 + -6y = (-2 * 7 + y * 7) 12 + -6y = (-14 + 7y) Solving 12 + -6y = -14 + 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. 12 + -6y + -7y = -14 + 7y + -7y Combine like terms: -6y + -7y = -13y 12 + -13y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -13y = -14 + 0 12 + -13y = -14 Add '-12' to each side of the equation. 12 + -12 + -13y = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -13y = -14 + -12 -13y = -14 + -12 Combine like terms: -14 + -12 = -26 -13y = -26 Divide each side by '-13'. y = 2 Simplifying y = 2
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