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