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Simplifying (2y + -1)(7 + -1y) = 0 Reorder the terms: (-1 + 2y)(7 + -1y) = 0 Multiply (-1 + 2y) * (7 + -1y) (-1(7 + -1y) + 2y * (7 + -1y)) = 0 ((7 * -1 + -1y * -1) + 2y * (7 + -1y)) = 0 ((-7 + 1y) + 2y * (7 + -1y)) = 0 (-7 + 1y + (7 * 2y + -1y * 2y)) = 0 (-7 + 1y + (14y + -2y2)) = 0 Combine like terms: 1y + 14y = 15y (-7 + 15y + -2y2) = 0 Solving -7 + 15y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(1 + -2y) = 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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {7, 0.5}
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