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Simplifying (1 + -1y)(4y + -3) = 0 Reorder the terms: (1 + -1y)(-3 + 4y) = 0 Multiply (1 + -1y) * (-3 + 4y) (1(-3 + 4y) + -1y * (-3 + 4y)) = 0 ((-3 * 1 + 4y * 1) + -1y * (-3 + 4y)) = 0 ((-3 + 4y) + -1y * (-3 + 4y)) = 0 (-3 + 4y + (-3 * -1y + 4y * -1y)) = 0 (-3 + 4y + (3y + -4y2)) = 0 Combine like terms: 4y + 3y = 7y (-3 + 7y + -4y2) = 0 Solving -3 + 7y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + y)(3 + -4y) = 0Subproblem 1
Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {1, 0.75}
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