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Simplifying 2(-1y + 1) = 5y + 2(6 + -1y) Reorder the terms: 2(1 + -1y) = 5y + 2(6 + -1y) (1 * 2 + -1y * 2) = 5y + 2(6 + -1y) (2 + -2y) = 5y + 2(6 + -1y) 2 + -2y = 5y + (6 * 2 + -1y * 2) 2 + -2y = 5y + (12 + -2y) Reorder the terms: 2 + -2y = 12 + 5y + -2y Combine like terms: 5y + -2y = 3y 2 + -2y = 12 + 3y Solving 2 + -2y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 2 + -2y + -3y = 12 + 3y + -3y Combine like terms: -2y + -3y = -5y 2 + -5y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + -5y = 12 + 0 2 + -5y = 12 Add '-2' to each side of the equation. 2 + -2 + -5y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 12 + -2 -5y = 12 + -2 Combine like terms: 12 + -2 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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