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Simplifying (4y + -7)(4 + -1y) = 0 Reorder the terms: (-7 + 4y)(4 + -1y) = 0 Multiply (-7 + 4y) * (4 + -1y) (-7(4 + -1y) + 4y * (4 + -1y)) = 0 ((4 * -7 + -1y * -7) + 4y * (4 + -1y)) = 0 ((-28 + 7y) + 4y * (4 + -1y)) = 0 (-28 + 7y + (4 * 4y + -1y * 4y)) = 0 (-28 + 7y + (16y + -4y2)) = 0 Combine like terms: 7y + 16y = 23y (-28 + 23y + -4y2) = 0 Solving -28 + 23y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + y)(7 + -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 '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Solution
y = {4, 1.75}
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