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Simplifying 9(y + -4) = 3y + -6 Reorder the terms: 9(-4 + y) = 3y + -6 (-4 * 9 + y * 9) = 3y + -6 (-36 + 9y) = 3y + -6 Reorder the terms: -36 + 9y = -6 + 3y Solving -36 + 9y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -36 + 9y + -3y = -6 + 3y + -3y Combine like terms: 9y + -3y = 6y -36 + 6y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 6y = -6 + 0 -36 + 6y = -6 Add '36' to each side of the equation. -36 + 36 + 6y = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 6y = -6 + 36 6y = -6 + 36 Combine like terms: -6 + 36 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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