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Simplifying (4y + -3)(4 + -1y) = 0 Reorder the terms: (-3 + 4y)(4 + -1y) = 0 Multiply (-3 + 4y) * (4 + -1y) (-3(4 + -1y) + 4y * (4 + -1y)) = 0 ((4 * -3 + -1y * -3) + 4y * (4 + -1y)) = 0 ((-12 + 3y) + 4y * (4 + -1y)) = 0 (-12 + 3y + (4 * 4y + -1y * 4y)) = 0 (-12 + 3y + (16y + -4y2)) = 0 Combine like terms: 3y + 16y = 19y (-12 + 19y + -4y2) = 0 Solving -12 + 19y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(3 + -4y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 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 = {4, 0.75}
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