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Simplifying (7 + -1y)(5y + -4) = 0 Reorder the terms: (7 + -1y)(-4 + 5y) = 0 Multiply (7 + -1y) * (-4 + 5y) (7(-4 + 5y) + -1y * (-4 + 5y)) = 0 ((-4 * 7 + 5y * 7) + -1y * (-4 + 5y)) = 0 ((-28 + 35y) + -1y * (-4 + 5y)) = 0 (-28 + 35y + (-4 * -1y + 5y * -1y)) = 0 (-28 + 35y + (4y + -5y2)) = 0 Combine like terms: 35y + 4y = 39y (-28 + 39y + -5y2) = 0 Solving -28 + 39y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(4 + -5y) = 0Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 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 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {7, 0.8}
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