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Simplifying 3(y + -2) + 5(y + 4) = -10 Reorder the terms: 3(-2 + y) + 5(y + 4) = -10 (-2 * 3 + y * 3) + 5(y + 4) = -10 (-6 + 3y) + 5(y + 4) = -10 Reorder the terms: -6 + 3y + 5(4 + y) = -10 -6 + 3y + (4 * 5 + y * 5) = -10 -6 + 3y + (20 + 5y) = -10 Reorder the terms: -6 + 20 + 3y + 5y = -10 Combine like terms: -6 + 20 = 14 14 + 3y + 5y = -10 Combine like terms: 3y + 5y = 8y 14 + 8y = -10 Solving 14 + 8y = -10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8y = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 8y = -10 + -14 8y = -10 + -14 Combine like terms: -10 + -14 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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