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