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Simplifying 4(y + 8) = y + 2 Reorder the terms: 4(8 + y) = y + 2 (8 * 4 + y * 4) = y + 2 (32 + 4y) = y + 2 Reorder the terms: 32 + 4y = 2 + y Solving 32 + 4y = 2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 32 + 4y + -1y = 2 + y + -1y Combine like terms: 4y + -1y = 3y 32 + 3y = 2 + y + -1y Combine like terms: y + -1y = 0 32 + 3y = 2 + 0 32 + 3y = 2 Add '-32' to each side of the equation. 32 + -32 + 3y = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 3y = 2 + -32 3y = 2 + -32 Combine like terms: 2 + -32 = -30 3y = -30 Divide each side by '3'. y = -10 Simplifying y = -10
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