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Simplifying 3(y + -6) = 9 + 2y Reorder the terms: 3(-6 + y) = 9 + 2y (-6 * 3 + y * 3) = 9 + 2y (-18 + 3y) = 9 + 2y Solving -18 + 3y = 9 + 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. -18 + 3y + -2y = 9 + 2y + -2y Combine like terms: 3y + -2y = 1y -18 + 1y = 9 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 1y = 9 + 0 -18 + 1y = 9 Add '18' to each side of the equation. -18 + 18 + 1y = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = 9 + 18 1y = 9 + 18 Combine like terms: 9 + 18 = 27 1y = 27 Divide each side by '1'. y = 27 Simplifying y = 27
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