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Simplifying 10(1 + -2y) = -6(2y + -1) (1 * 10 + -2y * 10) = -6(2y + -1) (10 + -20y) = -6(2y + -1) Reorder the terms: 10 + -20y = -6(-1 + 2y) 10 + -20y = (-1 * -6 + 2y * -6) 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 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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