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Simplifying 6y + 12 + 2y = 10 + -24y + -6 Reorder the terms: 12 + 6y + 2y = 10 + -24y + -6 Combine like terms: 6y + 2y = 8y 12 + 8y = 10 + -24y + -6 Reorder the terms: 12 + 8y = 10 + -6 + -24y Combine like terms: 10 + -6 = 4 12 + 8y = 4 + -24y Solving 12 + 8y = 4 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 12 + 8y + 24y = 4 + -24y + 24y Combine like terms: 8y + 24y = 32y 12 + 32y = 4 + -24y + 24y Combine like terms: -24y + 24y = 0 12 + 32y = 4 + 0 12 + 32y = 4 Add '-12' to each side of the equation. 12 + -12 + 32y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 32y = 4 + -12 32y = 4 + -12 Combine like terms: 4 + -12 = -8 32y = -8 Divide each side by '32'. y = -0.25 Simplifying y = -0.25
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