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Simplifying 3(3y + -9) = -2(y + -3) Reorder the terms: 3(-9 + 3y) = -2(y + -3) (-9 * 3 + 3y * 3) = -2(y + -3) (-27 + 9y) = -2(y + -3) Reorder the terms: -27 + 9y = -2(-3 + y) -27 + 9y = (-3 * -2 + y * -2) -27 + 9y = (6 + -2y) Solving -27 + 9y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -27 + 9y + 2y = 6 + -2y + 2y Combine like terms: 9y + 2y = 11y -27 + 11y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 -27 + 11y = 6 + 0 -27 + 11y = 6 Add '27' to each side of the equation. -27 + 27 + 11y = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 11y = 6 + 27 11y = 6 + 27 Combine like terms: 6 + 27 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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