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Simplifying 3(2y + 6) = 6 + -2(y + -6) Reorder the terms: 3(6 + 2y) = 6 + -2(y + -6) (6 * 3 + 2y * 3) = 6 + -2(y + -6) (18 + 6y) = 6 + -2(y + -6) Reorder the terms: 18 + 6y = 6 + -2(-6 + y) 18 + 6y = 6 + (-6 * -2 + y * -2) 18 + 6y = 6 + (12 + -2y) Combine like terms: 6 + 12 = 18 18 + 6y = 18 + -2y Add '-18' to each side of the equation. 18 + -18 + 6y = 18 + -18 + -2y Combine like terms: 18 + -18 = 0 0 + 6y = 18 + -18 + -2y 6y = 18 + -18 + -2y Combine like terms: 18 + -18 = 0 6y = 0 + -2y 6y = -2y Solving 6y = -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. 6y + 2y = -2y + 2y Combine like terms: 6y + 2y = 8y 8y = -2y + 2y Combine like terms: -2y + 2y = 0 8y = 0 Divide each side by '8'. y = 0 Simplifying y = 0
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