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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 = 7y -27 + 7y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -27 + 7y = -6 + 0 -27 + 7y = -6 Add '27' to each side of the equation. -27 + 27 + 7y = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 7y = -6 + 27 7y = -6 + 27 Combine like terms: -6 + 27 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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