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Simplifying 12 = 3(y + -4) + -6y Reorder the terms: 12 = 3(-4 + y) + -6y 12 = (-4 * 3 + y * 3) + -6y 12 = (-12 + 3y) + -6y Combine like terms: 3y + -6y = -3y 12 = -12 + -3y Solving 12 = -12 + -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 = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 3y = -12 + 0 12 + 3y = -12 Add '-12' to each side of the equation. 12 + -12 + 3y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -12 + -12 3y = -12 + -12 Combine like terms: -12 + -12 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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