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Simplifying 4y + 2 = 1 + 2(y + 1) Reorder the terms: 2 + 4y = 1 + 2(y + 1) Reorder the terms: 2 + 4y = 1 + 2(1 + y) 2 + 4y = 1 + (1 * 2 + y * 2) 2 + 4y = 1 + (2 + 2y) Combine like terms: 1 + 2 = 3 2 + 4y = 3 + 2y Solving 2 + 4y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 2 + 4y + -2y = 3 + 2y + -2y Combine like terms: 4y + -2y = 2y 2 + 2y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 2y = 3 + 0 2 + 2y = 3 Add '-2' to each side of the equation. 2 + -2 + 2y = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 3 + -2 2y = 3 + -2 Combine like terms: 3 + -2 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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