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Simplifying 2(y + 6) = -4(4y + -6) + 8y Reorder the terms: 2(6 + y) = -4(4y + -6) + 8y (6 * 2 + y * 2) = -4(4y + -6) + 8y (12 + 2y) = -4(4y + -6) + 8y Reorder the terms: 12 + 2y = -4(-6 + 4y) + 8y 12 + 2y = (-6 * -4 + 4y * -4) + 8y 12 + 2y = (24 + -16y) + 8y Combine like terms: -16y + 8y = -8y 12 + 2y = 24 + -8y Solving 12 + 2y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + 2y + 8y = 24 + -8y + 8y Combine like terms: 2y + 8y = 10y 12 + 10y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 10y = 24 + 0 12 + 10y = 24 Add '-12' to each side of the equation. 12 + -12 + 10y = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 10y = 24 + -12 10y = 24 + -12 Combine like terms: 24 + -12 = 12 10y = 12 Divide each side by '10'. y = 1.2 Simplifying y = 1.2
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