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Simplifying 10[1 + -2y] = -5[2y + -1] [1 * 10 + -2y * 10] = -5[2y + -1] [10 + -20y] = -5[2y + -1] Reorder the terms: 10 + -20y = -5[-1 + 2y] 10 + -20y = [-1 * -5 + 2y * -5] 10 + -20y = [5 + -10y] Solving 10 + -20y = 5 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 10 + -20y + 10y = 5 + -10y + 10y Combine like terms: -20y + 10y = -10y 10 + -10y = 5 + -10y + 10y Combine like terms: -10y + 10y = 0 10 + -10y = 5 + 0 10 + -10y = 5 Add '-10' to each side of the equation. 10 + -10 + -10y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -10y = 5 + -10 -10y = 5 + -10 Combine like terms: 5 + -10 = -5 -10y = -5 Divide each side by '-10'. y = 0.5 Simplifying y = 0.5
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