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