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Simplifying 10 + 12y = 7y + -5 Reorder the terms: 10 + 12y = -5 + 7y Solving 10 + 12y = -5 + 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. 10 + 12y + -7y = -5 + 7y + -7y Combine like terms: 12y + -7y = 5y 10 + 5y = -5 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + 5y = -5 + 0 10 + 5y = -5 Add '-10' to each side of the equation. 10 + -10 + 5y = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 5y = -5 + -10 5y = -5 + -10 Combine like terms: -5 + -10 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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