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Simplifying -2(y + 6) = 9y + -34 Reorder the terms: -2(6 + y) = 9y + -34 (6 * -2 + y * -2) = 9y + -34 (-12 + -2y) = 9y + -34 Reorder the terms: -12 + -2y = -34 + 9y Solving -12 + -2y = -34 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -12 + -2y + -9y = -34 + 9y + -9y Combine like terms: -2y + -9y = -11y -12 + -11y = -34 + 9y + -9y Combine like terms: 9y + -9y = 0 -12 + -11y = -34 + 0 -12 + -11y = -34 Add '12' to each side of the equation. -12 + 12 + -11y = -34 + 12 Combine like terms: -12 + 12 = 0 0 + -11y = -34 + 12 -11y = -34 + 12 Combine like terms: -34 + 12 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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