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