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Simplifying 12y + -8 = 7y + 32 Reorder the terms: -8 + 12y = 7y + 32 Reorder the terms: -8 + 12y = 32 + 7y Solving -8 + 12y = 32 + 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. -8 + 12y + -7y = 32 + 7y + -7y Combine like terms: 12y + -7y = 5y -8 + 5y = 32 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + 5y = 32 + 0 -8 + 5y = 32 Add '8' to each side of the equation. -8 + 8 + 5y = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 32 + 8 5y = 32 + 8 Combine like terms: 32 + 8 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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