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Simplifying -3(11 + 18y) = 5(-12y + -9) (11 * -3 + 18y * -3) = 5(-12y + -9) (-33 + -54y) = 5(-12y + -9) Reorder the terms: -33 + -54y = 5(-9 + -12y) -33 + -54y = (-9 * 5 + -12y * 5) -33 + -54y = (-45 + -60y) Solving -33 + -54y = -45 + -60y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '60y' to each side of the equation. -33 + -54y + 60y = -45 + -60y + 60y Combine like terms: -54y + 60y = 6y -33 + 6y = -45 + -60y + 60y Combine like terms: -60y + 60y = 0 -33 + 6y = -45 + 0 -33 + 6y = -45 Add '33' to each side of the equation. -33 + 33 + 6y = -45 + 33 Combine like terms: -33 + 33 = 0 0 + 6y = -45 + 33 6y = -45 + 33 Combine like terms: -45 + 33 = -12 6y = -12 Divide each side by '6'. y = -2 Simplifying y = -2
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