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Simplifying -2(3y + -8) = 5(4y + -2) Reorder the terms: -2(-8 + 3y) = 5(4y + -2) (-8 * -2 + 3y * -2) = 5(4y + -2) (16 + -6y) = 5(4y + -2) Reorder the terms: 16 + -6y = 5(-2 + 4y) 16 + -6y = (-2 * 5 + 4y * 5) 16 + -6y = (-10 + 20y) Solving 16 + -6y = -10 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 16 + -6y + -20y = -10 + 20y + -20y Combine like terms: -6y + -20y = -26y 16 + -26y = -10 + 20y + -20y Combine like terms: 20y + -20y = 0 16 + -26y = -10 + 0 16 + -26y = -10 Add '-16' to each side of the equation. 16 + -16 + -26y = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -26y = -10 + -16 -26y = -10 + -16 Combine like terms: -10 + -16 = -26 -26y = -26 Divide each side by '-26'. y = 1 Simplifying y = 1
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