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Simplifying (7 + -1y)(2y + -3) = 0 Reorder the terms: (7 + -1y)(-3 + 2y) = 0 Multiply (7 + -1y) * (-3 + 2y) (7(-3 + 2y) + -1y * (-3 + 2y)) = 0 ((-3 * 7 + 2y * 7) + -1y * (-3 + 2y)) = 0 ((-21 + 14y) + -1y * (-3 + 2y)) = 0 (-21 + 14y + (-3 * -1y + 2y * -1y)) = 0 (-21 + 14y + (3y + -2y2)) = 0 Combine like terms: 14y + 3y = 17y (-21 + 17y + -2y2) = 0 Solving -21 + 17y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(3 + -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 '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {7, 1.5}
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