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Simplifying 12y + -8 = 7y + 42 Reorder the terms: -8 + 12y = 7y + 42 Reorder the terms: -8 + 12y = 42 + 7y Solving -8 + 12y = 42 + 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 = 42 + 7y + -7y Combine like terms: 12y + -7y = 5y -8 + 5y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + 5y = 42 + 0 -8 + 5y = 42 Add '8' to each side of the equation. -8 + 8 + 5y = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 42 + 8 5y = 42 + 8 Combine like terms: 42 + 8 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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