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Simplifying 50(3y + -2) = 50(y + 2) Reorder the terms: 50(-2 + 3y) = 50(y + 2) (-2 * 50 + 3y * 50) = 50(y + 2) (-100 + 150y) = 50(y + 2) Reorder the terms: -100 + 150y = 50(2 + y) -100 + 150y = (2 * 50 + y * 50) -100 + 150y = (100 + 50y) Solving -100 + 150y = 100 + 50y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50y' to each side of the equation. -100 + 150y + -50y = 100 + 50y + -50y Combine like terms: 150y + -50y = 100y -100 + 100y = 100 + 50y + -50y Combine like terms: 50y + -50y = 0 -100 + 100y = 100 + 0 -100 + 100y = 100 Add '100' to each side of the equation. -100 + 100 + 100y = 100 + 100 Combine like terms: -100 + 100 = 0 0 + 100y = 100 + 100 100y = 100 + 100 Combine like terms: 100 + 100 = 200 100y = 200 Divide each side by '100'. y = 2 Simplifying y = 2
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