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Simplifying 3(2y + 4) = 12y + -12 Reorder the terms: 3(4 + 2y) = 12y + -12 (4 * 3 + 2y * 3) = 12y + -12 (12 + 6y) = 12y + -12 Reorder the terms: 12 + 6y = -12 + 12y Solving 12 + 6y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 12 + 6y + -12y = -12 + 12y + -12y Combine like terms: 6y + -12y = -6y 12 + -6y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + -6y = -12 + 0 12 + -6y = -12 Add '-12' to each side of the equation. 12 + -12 + -6y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = -12 + -12 -6y = -12 + -12 Combine like terms: -12 + -12 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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