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Simplifying 7(y + 3) + -2(y + -1) = 0 Reorder the terms: 7(3 + y) + -2(y + -1) = 0 (3 * 7 + y * 7) + -2(y + -1) = 0 (21 + 7y) + -2(y + -1) = 0 Reorder the terms: 21 + 7y + -2(-1 + y) = 0 21 + 7y + (-1 * -2 + y * -2) = 0 21 + 7y + (2 + -2y) = 0 Reorder the terms: 21 + 2 + 7y + -2y = 0 Combine like terms: 21 + 2 = 23 23 + 7y + -2y = 0 Combine like terms: 7y + -2y = 5y 23 + 5y = 0 Solving 23 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 5y = 0 + -23 5y = 0 + -23 Combine like terms: 0 + -23 = -23 5y = -23 Divide each side by '5'. y = -4.6 Simplifying y = -4.6
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