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Simplifying -7(y + -2) = 2 + -6y Reorder the terms: -7(-2 + y) = 2 + -6y (-2 * -7 + y * -7) = 2 + -6y (14 + -7y) = 2 + -6y Solving 14 + -7y = 2 + -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. 14 + -7y + 6y = 2 + -6y + 6y Combine like terms: -7y + 6y = -1y 14 + -1y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 14 + -1y = 2 + 0 14 + -1y = 2 Add '-14' to each side of the equation. 14 + -14 + -1y = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 2 + -14 -1y = 2 + -14 Combine like terms: 2 + -14 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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