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Simplifying -6(y + -2) = 3y + 39 Reorder the terms: -6(-2 + y) = 3y + 39 (-2 * -6 + y * -6) = 3y + 39 (12 + -6y) = 3y + 39 Reorder the terms: 12 + -6y = 39 + 3y Solving 12 + -6y = 39 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + -6y + -3y = 39 + 3y + -3y Combine like terms: -6y + -3y = -9y 12 + -9y = 39 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + -9y = 39 + 0 12 + -9y = 39 Add '-12' to each side of the equation. 12 + -12 + -9y = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = 39 + -12 -9y = 39 + -12 Combine like terms: 39 + -12 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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