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Simplifying 4(y2 + -33) = -37y Reorder the terms: 4(-33 + y2) = -37y (-33 * 4 + y2 * 4) = -37y (-132 + 4y2) = -37y Solving -132 + 4y2 = -37y Solving for variable 'y'. Reorder the terms: -132 + 37y + 4y2 = -37y + 37y Combine like terms: -37y + 37y = 0 -132 + 37y + 4y2 = 0 Factor a trinomial. (-12 + -1y)(11 + -4y) = 0Subproblem 1
Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12Subproblem 2
Set the factor '(11 + -4y)' equal to zero and attempt to solve: Simplifying 11 + -4y = 0 Solving 11 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4y = 0 + -11 -4y = 0 + -11 Combine like terms: 0 + -11 = -11 -4y = -11 Divide each side by '-4'. y = 2.75 Simplifying y = 2.75Solution
y = {-12, 2.75}
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