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Simplifying 7(y + 2) + -3(y + 1) = 0 Reorder the terms: 7(2 + y) + -3(y + 1) = 0 (2 * 7 + y * 7) + -3(y + 1) = 0 (14 + 7y) + -3(y + 1) = 0 Reorder the terms: 14 + 7y + -3(1 + y) = 0 14 + 7y + (1 * -3 + y * -3) = 0 14 + 7y + (-3 + -3y) = 0 Reorder the terms: 14 + -3 + 7y + -3y = 0 Combine like terms: 14 + -3 = 11 11 + 7y + -3y = 0 Combine like terms: 7y + -3y = 4y 11 + 4y = 0 Solving 11 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4y = 0 + -11 4y = 0 + -11 Combine like terms: 0 + -11 = -11 4y = -11 Divide each side by '4'. y = -2.75 Simplifying y = -2.75
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