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Simplifying 6(1y + 2) + 2y = 10 + -3(8y + 2) Reorder the terms: 6(2 + 1y) + 2y = 10 + -3(8y + 2) (2 * 6 + 1y * 6) + 2y = 10 + -3(8y + 2) (12 + 6y) + 2y = 10 + -3(8y + 2) Combine like terms: 6y + 2y = 8y 12 + 8y = 10 + -3(8y + 2) Reorder the terms: 12 + 8y = 10 + -3(2 + 8y) 12 + 8y = 10 + (2 * -3 + 8y * -3) 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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