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Simplifying (Y + -7)(-3y + 9y + 1) = 0 Reorder the terms: (-7 + Y)(-3y + 9y + 1) = 0 Reorder the terms: (-7 + Y)(1 + -3y + 9y) = 0 Combine like terms: -3y + 9y = 6y (-7 + Y)(1 + 6y) = 0 Multiply (-7 + Y) * (1 + 6y) (-7(1 + 6y) + Y(1 + 6y)) = 0 ((1 * -7 + 6y * -7) + Y(1 + 6y)) = 0 ((-7 + -42y) + Y(1 + 6y)) = 0 (-7 + -42y + (1 * Y + 6y * Y)) = 0 (-7 + -42y + (1Y + 6yY)) = 0 Reorder the terms: (-7 + 1Y + -42y + 6yY) = 0 (-7 + 1Y + -42y + 6yY) = 0 Solving -7 + 1Y + -42y + 6yY = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 1Y + -42y + 7 + 6yY = 0 + 7 Reorder the terms: -7 + 7 + 1Y + -42y + 6yY = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1Y + -42y + 6yY = 0 + 7 1Y + -42y + 6yY = 0 + 7 Combine like terms: 0 + 7 = 7 1Y + -42y + 6yY = 7 Add '42y' to each side of the equation. 1Y + -42y + 42y + 6yY = 7 + 42y Combine like terms: -42y + 42y = 0 1Y + 0 + 6yY = 7 + 42y 1Y + 6yY = 7 + 42y Reorder the terms: -7 + 1Y + -42y + 6yY = 7 + 42y + -7 + -42y Reorder the terms: -7 + 1Y + -42y + 6yY = 7 + -7 + 42y + -42y Combine like terms: 7 + -7 = 0 -7 + 1Y + -42y + 6yY = 0 + 42y + -42y -7 + 1Y + -42y + 6yY = 42y + -42y Combine like terms: 42y + -42y = 0 -7 + 1Y + -42y + 6yY = 0 The solution to this equation could not be determined.
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