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Simplifying -3(y + 4) = 2 + -2y Reorder the terms: -3(4 + y) = 2 + -2y (4 * -3 + y * -3) = 2 + -2y (-12 + -3y) = 2 + -2y Solving -12 + -3y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -12 + -3y + 2y = 2 + -2y + 2y Combine like terms: -3y + 2y = -1y -12 + -1y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + -1y = 2 + 0 -12 + -1y = 2 Add '12' to each side of the equation. -12 + 12 + -1y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 2 + 12 -1y = 2 + 12 Combine like terms: 2 + 12 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14
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