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Simplifying 7(y + 2) + y = 2(y + 3) + -8 Reorder the terms: 7(2 + y) + y = 2(y + 3) + -8 (2 * 7 + y * 7) + y = 2(y + 3) + -8 (14 + 7y) + y = 2(y + 3) + -8 Combine like terms: 7y + y = 8y 14 + 8y = 2(y + 3) + -8 Reorder the terms: 14 + 8y = 2(3 + y) + -8 14 + 8y = (3 * 2 + y * 2) + -8 14 + 8y = (6 + 2y) + -8 Reorder the terms: 14 + 8y = 6 + -8 + 2y Combine like terms: 6 + -8 = -2 14 + 8y = -2 + 2y Solving 14 + 8y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 14 + 8y + -2y = -2 + 2y + -2y Combine like terms: 8y + -2y = 6y 14 + 6y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + 6y = -2 + 0 14 + 6y = -2 Add '-14' to each side of the equation. 14 + -14 + 6y = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 6y = -2 + -14 6y = -2 + -14 Combine like terms: -2 + -14 = -16 6y = -16 Divide each side by '6'. y = -2.666666667 Simplifying y = -2.666666667
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