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Simplifying (y + 3) * 2 = 4y + -12 Reorder the terms: (3 + y) * 2 = 4y + -12 Reorder the terms for easier multiplication: 2(3 + y) = 4y + -12 (3 * 2 + y * 2) = 4y + -12 (6 + 2y) = 4y + -12 Reorder the terms: 6 + 2y = -12 + 4y Solving 6 + 2y = -12 + 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. 6 + 2y + -4y = -12 + 4y + -4y Combine like terms: 2y + -4y = -2y 6 + -2y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + -2y = -12 + 0 6 + -2y = -12 Add '-6' to each side of the equation. 6 + -6 + -2y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = -12 + -6 -2y = -12 + -6 Combine like terms: -12 + -6 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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