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Simplifying 9(y + -3) + -6(y + 3) = 9 Reorder the terms: 9(-3 + y) + -6(y + 3) = 9 (-3 * 9 + y * 9) + -6(y + 3) = 9 (-27 + 9y) + -6(y + 3) = 9 Reorder the terms: -27 + 9y + -6(3 + y) = 9 -27 + 9y + (3 * -6 + y * -6) = 9 -27 + 9y + (-18 + -6y) = 9 Reorder the terms: -27 + -18 + 9y + -6y = 9 Combine like terms: -27 + -18 = -45 -45 + 9y + -6y = 9 Combine like terms: 9y + -6y = 3y -45 + 3y = 9 Solving -45 + 3y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 3y = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 3y = 9 + 45 3y = 9 + 45 Combine like terms: 9 + 45 = 54 3y = 54 Divide each side by '3'. y = 18 Simplifying y = 18
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