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Simplifying -2(6 + 3y) = 3y + 33 (6 * -2 + 3y * -2) = 3y + 33 (-12 + -6y) = 3y + 33 Reorder the terms: -12 + -6y = 33 + 3y Solving -12 + -6y = 33 + 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 = 33 + 3y + -3y Combine like terms: -6y + -3y = -9y -12 + -9y = 33 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -9y = 33 + 0 -12 + -9y = 33 Add '12' to each side of the equation. -12 + 12 + -9y = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = 33 + 12 -9y = 33 + 12 Combine like terms: 33 + 12 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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