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Simplifying 2y + 8(y + 1) + 7(y + 2) = 0 Reorder the terms: 2y + 8(1 + y) + 7(y + 2) = 0 2y + (1 * 8 + y * 8) + 7(y + 2) = 0 2y + (8 + 8y) + 7(y + 2) = 0 Reorder the terms: 2y + 8 + 8y + 7(2 + y) = 0 2y + 8 + 8y + (2 * 7 + y * 7) = 0 2y + 8 + 8y + (14 + 7y) = 0 Reorder the terms: 8 + 14 + 2y + 8y + 7y = 0 Combine like terms: 8 + 14 = 22 22 + 2y + 8y + 7y = 0 Combine like terms: 2y + 8y = 10y 22 + 10y + 7y = 0 Combine like terms: 10y + 7y = 17y 22 + 17y = 0 Solving 22 + 17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 17y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 17y = 0 + -22 17y = 0 + -22 Combine like terms: 0 + -22 = -22 17y = -22 Divide each side by '17'. y = -1.294117647 Simplifying y = -1.294117647
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