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Simplifying -5(-10y + 2) = 2(5y + -3) Reorder the terms: -5(2 + -10y) = 2(5y + -3) (2 * -5 + -10y * -5) = 2(5y + -3) (-10 + 50y) = 2(5y + -3) Reorder the terms: -10 + 50y = 2(-3 + 5y) -10 + 50y = (-3 * 2 + 5y * 2) -10 + 50y = (-6 + 10y) Solving -10 + 50y = -6 + 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 + 50y + -10y = -6 + 10y + -10y Combine like terms: 50y + -10y = 40y -10 + 40y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 -10 + 40y = -6 + 0 -10 + 40y = -6 Add '10' to each side of the equation. -10 + 10 + 40y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 40y = -6 + 10 40y = -6 + 10 Combine like terms: -6 + 10 = 4 40y = 4 Divide each side by '40'. y = 0.1 Simplifying y = 0.1
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