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Simplifying 10(1 + -2y) = -5(2y + -10) (1 * 10 + -2y * 10) = -5(2y + -10) (10 + -20y) = -5(2y + -10) Reorder the terms: 10 + -20y = -5(-10 + 2y) 10 + -20y = (-10 * -5 + 2y * -5) 10 + -20y = (50 + -10y) Solving 10 + -20y = 50 + -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 = 50 + -10y + 10y Combine like terms: -20y + 10y = -10y 10 + -10y = 50 + -10y + 10y Combine like terms: -10y + 10y = 0 10 + -10y = 50 + 0 10 + -10y = 50 Add '-10' to each side of the equation. 10 + -10 + -10y = 50 + -10 Combine like terms: 10 + -10 = 0 0 + -10y = 50 + -10 -10y = 50 + -10 Combine like terms: 50 + -10 = 40 -10y = 40 Divide each side by '-10'. y = -4 Simplifying y = -4
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