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Simplifying 3(6y + 7) + 5(y + -3) = 0 Reorder the terms: 3(7 + 6y) + 5(y + -3) = 0 (7 * 3 + 6y * 3) + 5(y + -3) = 0 (21 + 18y) + 5(y + -3) = 0 Reorder the terms: 21 + 18y + 5(-3 + y) = 0 21 + 18y + (-3 * 5 + y * 5) = 0 21 + 18y + (-15 + 5y) = 0 Reorder the terms: 21 + -15 + 18y + 5y = 0 Combine like terms: 21 + -15 = 6 6 + 18y + 5y = 0 Combine like terms: 18y + 5y = 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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