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Simplifying 3y + 7 = 5(5y + -2) Reorder the terms: 7 + 3y = 5(5y + -2) Reorder the terms: 7 + 3y = 5(-2 + 5y) 7 + 3y = (-2 * 5 + 5y * 5) 7 + 3y = (-10 + 25y) Solving 7 + 3y = -10 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 7 + 3y + -25y = -10 + 25y + -25y Combine like terms: 3y + -25y = -22y 7 + -22y = -10 + 25y + -25y Combine like terms: 25y + -25y = 0 7 + -22y = -10 + 0 7 + -22y = -10 Add '-7' to each side of the equation. 7 + -7 + -22y = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -22y = -10 + -7 -22y = -10 + -7 Combine like terms: -10 + -7 = -17 -22y = -17 Divide each side by '-22'. y = 0.7727272727 Simplifying y = 0.7727272727
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