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Simplifying 2(5y + 6) + -4(y + -8) = 0 Reorder the terms: 2(6 + 5y) + -4(y + -8) = 0 (6 * 2 + 5y * 2) + -4(y + -8) = 0 (12 + 10y) + -4(y + -8) = 0 Reorder the terms: 12 + 10y + -4(-8 + y) = 0 12 + 10y + (-8 * -4 + y * -4) = 0 12 + 10y + (32 + -4y) = 0 Reorder the terms: 12 + 32 + 10y + -4y = 0 Combine like terms: 12 + 32 = 44 44 + 10y + -4y = 0 Combine like terms: 10y + -4y = 6y 44 + 6y = 0 Solving 44 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 6y = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 6y = 0 + -44 6y = 0 + -44 Combine like terms: 0 + -44 = -44 6y = -44 Divide each side by '6'. y = -7.333333333 Simplifying y = -7.333333333
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