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Simplifying 8(y + 4) = 7y + 38 Reorder the terms: 8(4 + y) = 7y + 38 (4 * 8 + y * 8) = 7y + 38 (32 + 8y) = 7y + 38 Reorder the terms: 32 + 8y = 38 + 7y Solving 32 + 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. 32 + 8y + -7y = 38 + 7y + -7y Combine like terms: 8y + -7y = 1y 32 + 1y = 38 + 7y + -7y Combine like terms: 7y + -7y = 0 32 + 1y = 38 + 0 32 + 1y = 38 Add '-32' to each side of the equation. 32 + -32 + 1y = 38 + -32 Combine like terms: 32 + -32 = 0 0 + 1y = 38 + -32 1y = 38 + -32 Combine like terms: 38 + -32 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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