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Simplifying 2(y + -6) = -9y + -45 Reorder the terms: 2(-6 + y) = -9y + -45 (-6 * 2 + y * 2) = -9y + -45 (-12 + 2y) = -9y + -45 Reorder the terms: -12 + 2y = -45 + -9y Solving -12 + 2y = -45 + -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 = -45 + -9y + 9y Combine like terms: 2y + 9y = 11y -12 + 11y = -45 + -9y + 9y Combine like terms: -9y + 9y = 0 -12 + 11y = -45 + 0 -12 + 11y = -45 Add '12' to each side of the equation. -12 + 12 + 11y = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = -45 + 12 11y = -45 + 12 Combine like terms: -45 + 12 = -33 11y = -33 Divide each side by '11'. y = -3 Simplifying y = -3
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