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Simplifying 5(y + 6) + 3(y + -2) = 0 Reorder the terms: 5(6 + y) + 3(y + -2) = 0 (6 * 5 + y * 5) + 3(y + -2) = 0 (30 + 5y) + 3(y + -2) = 0 Reorder the terms: 30 + 5y + 3(-2 + y) = 0 30 + 5y + (-2 * 3 + y * 3) = 0 30 + 5y + (-6 + 3y) = 0 Reorder the terms: 30 + -6 + 5y + 3y = 0 Combine like terms: 30 + -6 = 24 24 + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y 24 + 8y = 0 Solving 24 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8y = 0 + -24 8y = 0 + -24 Combine like terms: 0 + -24 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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