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Simplifying 8(y + 3) = 7y + 38 Reorder the terms: 8(3 + y) = 7y + 38 (3 * 8 + y * 8) = 7y + 38 (24 + 8y) = 7y + 38 Reorder the terms: 24 + 8y = 38 + 7y Solving 24 + 8y = 38 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 24 + 8y + -7y = 38 + 7y + -7y Combine like terms: 8y + -7y = 1y 24 + 1y = 38 + 7y + -7y Combine like terms: 7y + -7y = 0 24 + 1y = 38 + 0 24 + 1y = 38 Add '-24' to each side of the equation. 24 + -24 + 1y = 38 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = 38 + -24 1y = 38 + -24 Combine like terms: 38 + -24 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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