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Simplifying 4(2y + -6) + 3(5y + 10) = 0 Reorder the terms: 4(-6 + 2y) + 3(5y + 10) = 0 (-6 * 4 + 2y * 4) + 3(5y + 10) = 0 (-24 + 8y) + 3(5y + 10) = 0 Reorder the terms: -24 + 8y + 3(10 + 5y) = 0 -24 + 8y + (10 * 3 + 5y * 3) = 0 -24 + 8y + (30 + 15y) = 0 Reorder the terms: -24 + 30 + 8y + 15y = 0 Combine like terms: -24 + 30 = 6 6 + 8y + 15y = 0 Combine like terms: 8y + 15y = 23y 6 + 23y = 0 Solving 6 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 23y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 23y = 0 + -6 23y = 0 + -6 Combine like terms: 0 + -6 = -6 23y = -6 Divide each side by '23'. y = -0.2608695652 Simplifying y = -0.2608695652
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