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Simplifying 12y + -13 = 7y + 12 Reorder the terms: -13 + 12y = 7y + 12 Reorder the terms: -13 + 12y = 12 + 7y Solving -13 + 12y = 12 + 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. -13 + 12y + -7y = 12 + 7y + -7y Combine like terms: 12y + -7y = 5y -13 + 5y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 -13 + 5y = 12 + 0 -13 + 5y = 12 Add '13' to each side of the equation. -13 + 13 + 5y = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 5y = 12 + 13 5y = 12 + 13 Combine like terms: 12 + 13 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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