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Simplifying 10 + 5(y + -2) = 4y + 1 Reorder the terms: 10 + 5(-2 + y) = 4y + 1 10 + (-2 * 5 + y * 5) = 4y + 1 10 + (-10 + 5y) = 4y + 1 Combine like terms: 10 + -10 = 0 0 + 5y = 4y + 1 5y = 4y + 1 Reorder the terms: 5y = 1 + 4y Solving 5y = 1 + 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. 5y + -4y = 1 + 4y + -4y Combine like terms: 5y + -4y = 1y 1y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 1y = 1 + 0 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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