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Simplifying 12 = 3(y + -3) + -6y Reorder the terms: 12 = 3(-3 + y) + -6y 12 = (-3 * 3 + y * 3) + -6y 12 = (-9 + 3y) + -6y Combine like terms: 3y + -6y = -3y 12 = -9 + -3y Solving 12 = -9 + -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. 12 + 3y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 3y = -9 + 0 12 + 3y = -9 Add '-12' to each side of the equation. 12 + -12 + 3y = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -9 + -12 3y = -9 + -12 Combine like terms: -9 + -12 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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