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Simplifying -3y + 6(7y + -6) = -6 + 3(-2 + -1y) Reorder the terms: -3y + 6(-6 + 7y) = -6 + 3(-2 + -1y) -3y + (-6 * 6 + 7y * 6) = -6 + 3(-2 + -1y) -3y + (-36 + 42y) = -6 + 3(-2 + -1y) Reorder the terms: -36 + -3y + 42y = -6 + 3(-2 + -1y) Combine like terms: -3y + 42y = 39y -36 + 39y = -6 + 3(-2 + -1y) -36 + 39y = -6 + (-2 * 3 + -1y * 3) -36 + 39y = -6 + (-6 + -3y) Combine like terms: -6 + -6 = -12 -36 + 39y = -12 + -3y Solving -36 + 39y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -36 + 39y + 3y = -12 + -3y + 3y Combine like terms: 39y + 3y = 42y -36 + 42y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 -36 + 42y = -12 + 0 -36 + 42y = -12 Add '36' to each side of the equation. -36 + 36 + 42y = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 42y = -12 + 36 42y = -12 + 36 Combine like terms: -12 + 36 = 24 42y = 24 Divide each side by '42'. y = 0.5714285714 Simplifying y = 0.5714285714
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