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Simplifying 10(1 + -2y) = -5(2y + -2) (1 * 10 + -2y * 10) = -5(2y + -2) (10 + -20y) = -5(2y + -2) Reorder the terms: 10 + -20y = -5(-2 + 2y) 10 + -20y = (-2 * -5 + 2y * -5) 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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