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Simplifying 5(2 + -1y) = -2(3y + -5) (2 * 5 + -1y * 5) = -2(3y + -5) (10 + -5y) = -2(3y + -5) Reorder the terms: 10 + -5y = -2(-5 + 3y) 10 + -5y = (-5 * -2 + 3y * -2) 10 + -5y = (10 + -6y) Add '-10' to each side of the equation. 10 + -10 + -5y = 10 + -10 + -6y Combine like terms: 10 + -10 = 0 0 + -5y = 10 + -10 + -6y -5y = 10 + -10 + -6y Combine like terms: 10 + -10 = 0 -5y = 0 + -6y -5y = -6y Solving -5y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -5y + 6y = -6y + 6y Combine like terms: -5y + 6y = 1y 1y = -6y + 6y Combine like terms: -6y + 6y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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