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Simplifying (y + 4) * 3 + -6y = 2(4 + -2y) Reorder the terms: (4 + y) * 3 + -6y = 2(4 + -2y) Reorder the terms for easier multiplication: 3(4 + y) + -6y = 2(4 + -2y) (4 * 3 + y * 3) + -6y = 2(4 + -2y) (12 + 3y) + -6y = 2(4 + -2y) Combine like terms: 3y + -6y = -3y 12 + -3y = 2(4 + -2y) 12 + -3y = (4 * 2 + -2y * 2) 12 + -3y = (8 + -4y) Solving 12 + -3y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 12 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 1y = 8 + 0 12 + 1y = 8 Add '-12' to each side of the equation. 12 + -12 + 1y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 8 + -12 1y = 8 + -12 Combine like terms: 8 + -12 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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