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Simplifying -6(y + -3) + -6 = -13y + -2 Reorder the terms: -6(-3 + y) + -6 = -13y + -2 (-3 * -6 + y * -6) + -6 = -13y + -2 (18 + -6y) + -6 = -13y + -2 Reorder the terms: 18 + -6 + -6y = -13y + -2 Combine like terms: 18 + -6 = 12 12 + -6y = -13y + -2 Reorder the terms: 12 + -6y = -2 + -13y Solving 12 + -6y = -2 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 12 + -6y + 13y = -2 + -13y + 13y Combine like terms: -6y + 13y = 7y 12 + 7y = -2 + -13y + 13y Combine like terms: -13y + 13y = 0 12 + 7y = -2 + 0 12 + 7y = -2 Add '-12' to each side of the equation. 12 + -12 + 7y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = -2 + -12 7y = -2 + -12 Combine like terms: -2 + -12 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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