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