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Simplifying 2(5y + -3) + -3(y + 2) = 0 Reorder the terms: 2(-3 + 5y) + -3(y + 2) = 0 (-3 * 2 + 5y * 2) + -3(y + 2) = 0 (-6 + 10y) + -3(y + 2) = 0 Reorder the terms: -6 + 10y + -3(2 + y) = 0 -6 + 10y + (2 * -3 + y * -3) = 0 -6 + 10y + (-6 + -3y) = 0 Reorder the terms: -6 + -6 + 10y + -3y = 0 Combine like terms: -6 + -6 = -12 -12 + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y -12 + 7y = 0 Solving -12 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7y = 0 + 12 7y = 0 + 12 Combine like terms: 0 + 12 = 12 7y = 12 Divide each side by '7'. y = 1.714285714 Simplifying y = 1.714285714
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