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Simplifying -6(1 + -1y) = 36 + -1y (1 * -6 + -1y * -6) = 36 + -1y (-6 + 6y) = 36 + -1y Solving -6 + 6y = 36 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + 6y + y = 36 + -1y + y Combine like terms: 6y + y = 7y -6 + 7y = 36 + -1y + y Combine like terms: -1y + y = 0 -6 + 7y = 36 + 0 -6 + 7y = 36 Add '6' to each side of the equation. -6 + 6 + 7y = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 7y = 36 + 6 7y = 36 + 6 Combine like terms: 36 + 6 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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