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Simplifying 0.22(y + 6) = 0.2y + 2.6 Reorder the terms: 0.22(6 + y) = 0.2y + 2.6 (6 * 0.22 + y * 0.22) = 0.2y + 2.6 (1.32 + 0.22y) = 0.2y + 2.6 Reorder the terms: 1.32 + 0.22y = 2.6 + 0.2y Solving 1.32 + 0.22y = 2.6 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 1.32 + 0.22y + -0.2y = 2.6 + 0.2y + -0.2y Combine like terms: 0.22y + -0.2y = 0.02y 1.32 + 0.02y = 2.6 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 1.32 + 0.02y = 2.6 + 0.0 1.32 + 0.02y = 2.6 Add '-1.32' to each side of the equation. 1.32 + -1.32 + 0.02y = 2.6 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + 0.02y = 2.6 + -1.32 0.02y = 2.6 + -1.32 Combine like terms: 2.6 + -1.32 = 1.28 0.02y = 1.28 Divide each side by '0.02'. y = 64 Simplifying y = 64
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