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Simplifying 3y + -3 = y2 + -7 Reorder the terms: -3 + 3y = y2 + -7 Reorder the terms: -3 + 3y = -7 + y2 Solving -3 + 3y = -7 + y2 Solving for variable 'y'. Reorder the terms: -3 + 7 + 3y + -1y2 = -7 + y2 + 7 + -1y2 Combine like terms: -3 + 7 = 4 4 + 3y + -1y2 = -7 + y2 + 7 + -1y2 Reorder the terms: 4 + 3y + -1y2 = -7 + 7 + y2 + -1y2 Combine like terms: -7 + 7 = 0 4 + 3y + -1y2 = 0 + y2 + -1y2 4 + 3y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4 + 3y + -1y2 = 0 Factor a trinomial. (4 + -1y)(1 + y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {4, -1}
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