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Simplifying 5y + 7 = 4y + 12 Reorder the terms: 7 + 5y = 4y + 12 Reorder the terms: 7 + 5y = 12 + 4y Solving 7 + 5y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 5y + -4y = 12 + 4y + -4y Combine like terms: 5y + -4y = 1y 7 + 1y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + 1y = 12 + 0 7 + 1y = 12 Add '-7' to each side of the equation. 7 + -7 + 1y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 12 + -7 1y = 12 + -7 Combine like terms: 12 + -7 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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