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Simplifying 2y + 7 = 5y + -2 Reorder the terms: 7 + 2y = 5y + -2 Reorder the terms: 7 + 2y = -2 + 5y Solving 7 + 2y = -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 + 2y + -5y = -2 + 5y + -5y Combine like terms: 2y + -5y = -3y 7 + -3y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -3y = -2 + 0 7 + -3y = -2 Add '-7' to each side of the equation. 7 + -7 + -3y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = -2 + -7 -3y = -2 + -7 Combine like terms: -2 + -7 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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