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Simplifying 4(2y + 6) = 12 + -2(y + -6) Reorder the terms: 4(6 + 2y) = 12 + -2(y + -6) (6 * 4 + 2y * 4) = 12 + -2(y + -6) (24 + 8y) = 12 + -2(y + -6) Reorder the terms: 24 + 8y = 12 + -2(-6 + y) 24 + 8y = 12 + (-6 * -2 + y * -2) 24 + 8y = 12 + (12 + -2y) Combine like terms: 12 + 12 = 24 24 + 8y = 24 + -2y Add '-24' to each side of the equation. 24 + -24 + 8y = 24 + -24 + -2y Combine like terms: 24 + -24 = 0 0 + 8y = 24 + -24 + -2y 8y = 24 + -24 + -2y Combine like terms: 24 + -24 = 0 8y = 0 + -2y 8y = -2y Solving 8y = -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. 8y + 2y = -2y + 2y Combine like terms: 8y + 2y = 10y 10y = -2y + 2y Combine like terms: -2y + 2y = 0 10y = 0 Divide each side by '10'. y = 0.0 Simplifying y = 0.0
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