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Simplifying 0 = 6(y + 3) + -2(2y + 3) Reorder the terms: 0 = 6(3 + y) + -2(2y + 3) 0 = (3 * 6 + y * 6) + -2(2y + 3) 0 = (18 + 6y) + -2(2y + 3) Reorder the terms: 0 = 18 + 6y + -2(3 + 2y) 0 = 18 + 6y + (3 * -2 + 2y * -2) 0 = 18 + 6y + (-6 + -4y) Reorder the terms: 0 = 18 + -6 + 6y + -4y Combine like terms: 18 + -6 = 12 0 = 12 + 6y + -4y Combine like terms: 6y + -4y = 2y 0 = 12 + 2y Solving 0 = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 0 + -2y = 12 + 2y + -2y Remove the zero: -2y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -2y = 12 + 0 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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