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Simplifying 2(4y + 1) = 4y + 10 Reorder the terms: 2(1 + 4y) = 4y + 10 (1 * 2 + 4y * 2) = 4y + 10 (2 + 8y) = 4y + 10 Reorder the terms: 2 + 8y = 10 + 4y Solving 2 + 8y = 10 + 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. 2 + 8y + -4y = 10 + 4y + -4y Combine like terms: 8y + -4y = 4y 2 + 4y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 4y = 10 + 0 2 + 4y = 10 Add '-2' to each side of the equation. 2 + -2 + 4y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4y = 10 + -2 4y = 10 + -2 Combine like terms: 10 + -2 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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