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Simplifying 4(y + 6) = 2y + 44 Reorder the terms: 4(6 + y) = 2y + 44 (6 * 4 + y * 4) = 2y + 44 (24 + 4y) = 2y + 44 Reorder the terms: 24 + 4y = 44 + 2y Solving 24 + 4y = 44 + 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. 24 + 4y + -2y = 44 + 2y + -2y Combine like terms: 4y + -2y = 2y 24 + 2y = 44 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 2y = 44 + 0 24 + 2y = 44 Add '-24' to each side of the equation. 24 + -24 + 2y = 44 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 44 + -24 2y = 44 + -24 Combine like terms: 44 + -24 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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