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Simplifying 6y + 3(4 + -1y) = 8 + -2(1y + 3) 6y + (4 * 3 + -1y * 3) = 8 + -2(1y + 3) 6y + (12 + -3y) = 8 + -2(1y + 3) Reorder the terms: 12 + 6y + -3y = 8 + -2(1y + 3) Combine like terms: 6y + -3y = 3y 12 + 3y = 8 + -2(1y + 3) Reorder the terms: 12 + 3y = 8 + -2(3 + 1y) 12 + 3y = 8 + (3 * -2 + 1y * -2) 12 + 3y = 8 + (-6 + -2y) Combine like terms: 8 + -6 = 2 12 + 3y = 2 + -2y Solving 12 + 3y = 2 + -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. 12 + 3y + 2y = 2 + -2y + 2y Combine like terms: 3y + 2y = 5y 12 + 5y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 5y = 2 + 0 12 + 5y = 2 Add '-12' to each side of the equation. 12 + -12 + 5y = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 2 + -12 5y = 2 + -12 Combine like terms: 2 + -12 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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