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Simplifying (7 + 3y)(y + 2) = 3(y2 + 15) Reorder the terms: (7 + 3y)(2 + y) = 3(y2 + 15) Multiply (7 + 3y) * (2 + y) (7(2 + y) + 3y * (2 + y)) = 3(y2 + 15) ((2 * 7 + y * 7) + 3y * (2 + y)) = 3(y2 + 15) ((14 + 7y) + 3y * (2 + y)) = 3(y2 + 15) (14 + 7y + (2 * 3y + y * 3y)) = 3(y2 + 15) (14 + 7y + (6y + 3y2)) = 3(y2 + 15) Combine like terms: 7y + 6y = 13y (14 + 13y + 3y2) = 3(y2 + 15) Reorder the terms: 14 + 13y + 3y2 = 3(15 + y2) 14 + 13y + 3y2 = (15 * 3 + y2 * 3) 14 + 13y + 3y2 = (45 + 3y2) Add '-3y2' to each side of the equation. 14 + 13y + 3y2 + -3y2 = 45 + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 14 + 13y + 0 = 45 + 3y2 + -3y2 14 + 13y = 45 + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 14 + 13y = 45 + 0 14 + 13y = 45 Solving 14 + 13y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 13y = 45 + -14 Combine like terms: 14 + -14 = 0 0 + 13y = 45 + -14 13y = 45 + -14 Combine like terms: 45 + -14 = 31 13y = 31 Divide each side by '13'. y = 2.384615385 Simplifying y = 2.384615385
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