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Simplifying 3(y + -3) = 2y + -9 + 6 Reorder the terms: 3(-3 + y) = 2y + -9 + 6 (-3 * 3 + y * 3) = 2y + -9 + 6 (-9 + 3y) = 2y + -9 + 6 Reorder the terms: -9 + 3y = -9 + 6 + 2y Combine like terms: -9 + 6 = -3 -9 + 3y = -3 + 2y Solving -9 + 3y = -3 + 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. -9 + 3y + -2y = -3 + 2y + -2y Combine like terms: 3y + -2y = 1y -9 + 1y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + 1y = -3 + 0 -9 + 1y = -3 Add '9' to each side of the equation. -9 + 9 + 1y = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1y = -3 + 9 1y = -3 + 9 Combine like terms: -3 + 9 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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