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Simplifying -2(y + 6) = -7y + 33 Reorder the terms: -2(6 + y) = -7y + 33 (6 * -2 + y * -2) = -7y + 33 (-12 + -2y) = -7y + 33 Reorder the terms: -12 + -2y = 33 + -7y Solving -12 + -2y = 33 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -12 + -2y + 7y = 33 + -7y + 7y Combine like terms: -2y + 7y = 5y -12 + 5y = 33 + -7y + 7y Combine like terms: -7y + 7y = 0 -12 + 5y = 33 + 0 -12 + 5y = 33 Add '12' to each side of the equation. -12 + 12 + 5y = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 33 + 12 5y = 33 + 12 Combine like terms: 33 + 12 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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