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Simplifying 2(5y + -7) + -3(y + -6) = 0 Reorder the terms: 2(-7 + 5y) + -3(y + -6) = 0 (-7 * 2 + 5y * 2) + -3(y + -6) = 0 (-14 + 10y) + -3(y + -6) = 0 Reorder the terms: -14 + 10y + -3(-6 + y) = 0 -14 + 10y + (-6 * -3 + y * -3) = 0 -14 + 10y + (18 + -3y) = 0 Reorder the terms: -14 + 18 + 10y + -3y = 0 Combine like terms: -14 + 18 = 4 4 + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y 4 + 7y = 0 Solving 4 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 0 + -4 7y = 0 + -4 Combine like terms: 0 + -4 = -4 7y = -4 Divide each side by '7'. y = -0.5714285714 Simplifying y = -0.5714285714
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