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Simplifying -2(y + -4) + -1(3y + -2) = -2(6y + -2) Reorder the terms: -2(-4 + y) + -1(3y + -2) = -2(6y + -2) (-4 * -2 + y * -2) + -1(3y + -2) = -2(6y + -2) (8 + -2y) + -1(3y + -2) = -2(6y + -2) Reorder the terms: 8 + -2y + -1(-2 + 3y) = -2(6y + -2) 8 + -2y + (-2 * -1 + 3y * -1) = -2(6y + -2) 8 + -2y + (2 + -3y) = -2(6y + -2) Reorder the terms: 8 + 2 + -2y + -3y = -2(6y + -2) Combine like terms: 8 + 2 = 10 10 + -2y + -3y = -2(6y + -2) Combine like terms: -2y + -3y = -5y 10 + -5y = -2(6y + -2) Reorder the terms: 10 + -5y = -2(-2 + 6y) 10 + -5y = (-2 * -2 + 6y * -2) 10 + -5y = (4 + -12y) Solving 10 + -5y = 4 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 10 + -5y + 12y = 4 + -12y + 12y Combine like terms: -5y + 12y = 7y 10 + 7y = 4 + -12y + 12y Combine like terms: -12y + 12y = 0 10 + 7y = 4 + 0 10 + 7y = 4 Add '-10' to each side of the equation. 10 + -10 + 7y = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = 4 + -10 7y = 4 + -10 Combine like terms: 4 + -10 = -6 7y = -6 Divide each side by '7'. y = -0.8571428571 Simplifying y = -0.8571428571
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