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Simplifying -2(y + -4) = 2(2y + -5) Reorder the terms: -2(-4 + y) = 2(2y + -5) (-4 * -2 + y * -2) = 2(2y + -5) (8 + -2y) = 2(2y + -5) Reorder the terms: 8 + -2y = 2(-5 + 2y) 8 + -2y = (-5 * 2 + 2y * 2) 8 + -2y = (-10 + 4y) Solving 8 + -2y = -10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + -2y + -4y = -10 + 4y + -4y Combine like terms: -2y + -4y = -6y 8 + -6y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -6y = -10 + 0 8 + -6y = -10 Add '-8' to each side of the equation. 8 + -8 + -6y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6y = -10 + -8 -6y = -10 + -8 Combine like terms: -10 + -8 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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