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Simplifying 4y + 7 = 5y + -2 Reorder the terms: 7 + 4y = 5y + -2 Reorder the terms: 7 + 4y = -2 + 5y Solving 7 + 4y = -2 + 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. 7 + 4y + -5y = -2 + 5y + -5y Combine like terms: 4y + -5y = -1y 7 + -1y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -1y = -2 + 0 7 + -1y = -2 Add '-7' to each side of the equation. 7 + -7 + -1y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -2 + -7 -1y = -2 + -7 Combine like terms: -2 + -7 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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