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