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Simplifying 9(y + -1) = 6(y + -3) Reorder the terms: 9(-1 + y) = 6(y + -3) (-1 * 9 + y * 9) = 6(y + -3) (-9 + 9y) = 6(y + -3) Reorder the terms: -9 + 9y = 6(-3 + y) -9 + 9y = (-3 * 6 + y * 6) -9 + 9y = (-18 + 6y) Solving -9 + 9y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -9 + 9y + -6y = -18 + 6y + -6y Combine like terms: 9y + -6y = 3y -9 + 3y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + 3y = -18 + 0 -9 + 3y = -18 Add '9' to each side of the equation. -9 + 9 + 3y = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = -18 + 9 3y = -18 + 9 Combine like terms: -18 + 9 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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