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Simplifying 5(10y + -2) = 2(2y + 20) Reorder the terms: 5(-2 + 10y) = 2(2y + 20) (-2 * 5 + 10y * 5) = 2(2y + 20) (-10 + 50y) = 2(2y + 20) Reorder the terms: -10 + 50y = 2(20 + 2y) -10 + 50y = (20 * 2 + 2y * 2) -10 + 50y = (40 + 4y) Solving -10 + 50y = 40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + 50y + -4y = 40 + 4y + -4y Combine like terms: 50y + -4y = 46y -10 + 46y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 46y = 40 + 0 -10 + 46y = 40 Add '10' to each side of the equation. -10 + 10 + 46y = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 46y = 40 + 10 46y = 40 + 10 Combine like terms: 40 + 10 = 50 46y = 50 Divide each side by '46'. y = 1.086956522 Simplifying y = 1.086956522
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