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Simplifying 38 + 7y = 8y + 32 Reorder the terms: 38 + 7y = 32 + 8y Solving 38 + 7y = 32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 38 + 7y + -8y = 32 + 8y + -8y Combine like terms: 7y + -8y = -1y 38 + -1y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -1y = 32 + 0 38 + -1y = 32 Add '-38' to each side of the equation. 38 + -38 + -1y = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1y = 32 + -38 -1y = 32 + -38 Combine like terms: 32 + -38 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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