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Simplifying (7 + -1y)(3y + -5) = 0 Reorder the terms: (7 + -1y)(-5 + 3y) = 0 Multiply (7 + -1y) * (-5 + 3y) (7(-5 + 3y) + -1y * (-5 + 3y)) = 0 ((-5 * 7 + 3y * 7) + -1y * (-5 + 3y)) = 0 ((-35 + 21y) + -1y * (-5 + 3y)) = 0 (-35 + 21y + (-5 * -1y + 3y * -1y)) = 0 (-35 + 21y + (5y + -3y2)) = 0 Combine like terms: 21y + 5y = 26y (-35 + 26y + -3y2) = 0 Solving -35 + 26y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(5 + -3y) = 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 '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {7, 1.666666667}
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