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Simplifying 7(3y + 1) = 5(5y + 9) Reorder the terms: 7(1 + 3y) = 5(5y + 9) (1 * 7 + 3y * 7) = 5(5y + 9) (7 + 21y) = 5(5y + 9) Reorder the terms: 7 + 21y = 5(9 + 5y) 7 + 21y = (9 * 5 + 5y * 5) 7 + 21y = (45 + 25y) Solving 7 + 21y = 45 + 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 + 21y + -25y = 45 + 25y + -25y Combine like terms: 21y + -25y = -4y 7 + -4y = 45 + 25y + -25y Combine like terms: 25y + -25y = 0 7 + -4y = 45 + 0 7 + -4y = 45 Add '-7' to each side of the equation. 7 + -7 + -4y = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 45 + -7 -4y = 45 + -7 Combine like terms: 45 + -7 = 38 -4y = 38 Divide each side by '-4'. y = -9.5 Simplifying y = -9.5
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