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Simplifying -5(4y + -2) = -2(3 + 6y) Reorder the terms: -5(-2 + 4y) = -2(3 + 6y) (-2 * -5 + 4y * -5) = -2(3 + 6y) (10 + -20y) = -2(3 + 6y) 10 + -20y = (3 * -2 + 6y * -2) 10 + -20y = (-6 + -12y) Solving 10 + -20y = -6 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 10 + -20y + 12y = -6 + -12y + 12y Combine like terms: -20y + 12y = -8y 10 + -8y = -6 + -12y + 12y Combine like terms: -12y + 12y = 0 10 + -8y = -6 + 0 10 + -8y = -6 Add '-10' to each side of the equation. 10 + -10 + -8y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = -6 + -10 -8y = -6 + -10 Combine like terms: -6 + -10 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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