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Simplifying 7(y + 3) + y = 2(y + 3) + 2 Reorder the terms: 7(3 + y) + y = 2(y + 3) + 2 (3 * 7 + y * 7) + y = 2(y + 3) + 2 (21 + 7y) + y = 2(y + 3) + 2 Combine like terms: 7y + y = 8y 21 + 8y = 2(y + 3) + 2 Reorder the terms: 21 + 8y = 2(3 + y) + 2 21 + 8y = (3 * 2 + y * 2) + 2 21 + 8y = (6 + 2y) + 2 Reorder the terms: 21 + 8y = 6 + 2 + 2y Combine like terms: 6 + 2 = 8 21 + 8y = 8 + 2y Solving 21 + 8y = 8 + 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. 21 + 8y + -2y = 8 + 2y + -2y Combine like terms: 8y + -2y = 6y 21 + 6y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + 6y = 8 + 0 21 + 6y = 8 Add '-21' to each side of the equation. 21 + -21 + 6y = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 6y = 8 + -21 6y = 8 + -21 Combine like terms: 8 + -21 = -13 6y = -13 Divide each side by '6'. y = -2.166666667 Simplifying y = -2.166666667
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