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Simplifying 7(y + 8) + -3(y + 1) = 0 Reorder the terms: 7(8 + y) + -3(y + 1) = 0 (8 * 7 + y * 7) + -3(y + 1) = 0 (56 + 7y) + -3(y + 1) = 0 Reorder the terms: 56 + 7y + -3(1 + y) = 0 56 + 7y + (1 * -3 + y * -3) = 0 56 + 7y + (-3 + -3y) = 0 Reorder the terms: 56 + -3 + 7y + -3y = 0 Combine like terms: 56 + -3 = 53 53 + 7y + -3y = 0 Combine like terms: 7y + -3y = 4y 53 + 4y = 0 Solving 53 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 4y = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 4y = 0 + -53 4y = 0 + -53 Combine like terms: 0 + -53 = -53 4y = -53 Divide each side by '4'. y = -13.25 Simplifying y = -13.25
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