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Simplifying 9(y + -4) = 3(y + 12) Reorder the terms: 9(-4 + y) = 3(y + 12) (-4 * 9 + y * 9) = 3(y + 12) (-36 + 9y) = 3(y + 12) Reorder the terms: -36 + 9y = 3(12 + y) -36 + 9y = (12 * 3 + y * 3) -36 + 9y = (36 + 3y) Solving -36 + 9y = 36 + 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 = 36 + 3y + -3y Combine like terms: 9y + -3y = 6y -36 + 6y = 36 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 6y = 36 + 0 -36 + 6y = 36 Add '36' to each side of the equation. -36 + 36 + 6y = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 6y = 36 + 36 6y = 36 + 36 Combine like terms: 36 + 36 = 72 6y = 72 Divide each side by '6'. y = 12 Simplifying y = 12
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