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Simplifying 7(2y + 3) = 7(y + 17) Reorder the terms: 7(3 + 2y) = 7(y + 17) (3 * 7 + 2y * 7) = 7(y + 17) (21 + 14y) = 7(y + 17) Reorder the terms: 21 + 14y = 7(17 + y) 21 + 14y = (17 * 7 + y * 7) 21 + 14y = (119 + 7y) Solving 21 + 14y = 119 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 21 + 14y + -7y = 119 + 7y + -7y Combine like terms: 14y + -7y = 7y 21 + 7y = 119 + 7y + -7y Combine like terms: 7y + -7y = 0 21 + 7y = 119 + 0 21 + 7y = 119 Add '-21' to each side of the equation. 21 + -21 + 7y = 119 + -21 Combine like terms: 21 + -21 = 0 0 + 7y = 119 + -21 7y = 119 + -21 Combine like terms: 119 + -21 = 98 7y = 98 Divide each side by '7'. y = 14 Simplifying y = 14
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