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Simplifying y + -6 + -7 + -1(y + -5) + 5(6y + 1) = 0 Reorder the terms: y + -6 + -7 + -1(-5 + y) + 5(6y + 1) = 0 y + -6 + -7 + (-5 * -1 + y * -1) + 5(6y + 1) = 0 y + -6 + -7 + (5 + -1y) + 5(6y + 1) = 0 Reorder the terms: y + -6 + -7 + 5 + -1y + 5(1 + 6y) = 0 y + -6 + -7 + 5 + -1y + (1 * 5 + 6y * 5) = 0 y + -6 + -7 + 5 + -1y + (5 + 30y) = 0 Reorder the terms: -6 + -7 + 5 + 5 + y + -1y + 30y = 0 Combine like terms: -6 + -7 = -13 -13 + 5 + 5 + y + -1y + 30y = 0 Combine like terms: -13 + 5 = -8 -8 + 5 + y + -1y + 30y = 0 Combine like terms: -8 + 5 = -3 -3 + y + -1y + 30y = 0 Combine like terms: y + -1y = 0 -3 + 0 + 30y = 0 -3 + 30y = 0 Solving -3 + 30y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 30y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 30y = 0 + 3 30y = 0 + 3 Combine like terms: 0 + 3 = 3 30y = 3 Divide each side by '30'. y = 0.1 Simplifying y = 0.1
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