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Simplifying 10y + -5(7y + 1) = 0 Reorder the terms: 10y + -5(1 + 7y) = 0 10y + (1 * -5 + 7y * -5) = 0 10y + (-5 + -35y) = 0 Reorder the terms: -5 + 10y + -35y = 0 Combine like terms: 10y + -35y = -25y -5 + -25y = 0 Solving -5 + -25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -25y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -25y = 0 + 5 -25y = 0 + 5 Combine like terms: 0 + 5 = 5 -25y = 5 Divide each side by '-25'. y = -0.2 Simplifying y = -0.2
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