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Simplifying 3(y + 7) = 5(2y + 7) Reorder the terms: 3(7 + y) = 5(2y + 7) (7 * 3 + y * 3) = 5(2y + 7) (21 + 3y) = 5(2y + 7) Reorder the terms: 21 + 3y = 5(7 + 2y) 21 + 3y = (7 * 5 + 2y * 5) 21 + 3y = (35 + 10y) Solving 21 + 3y = 35 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 21 + 3y + -10y = 35 + 10y + -10y Combine like terms: 3y + -10y = -7y 21 + -7y = 35 + 10y + -10y Combine like terms: 10y + -10y = 0 21 + -7y = 35 + 0 21 + -7y = 35 Add '-21' to each side of the equation. 21 + -21 + -7y = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = 35 + -21 -7y = 35 + -21 Combine like terms: 35 + -21 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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