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Simplifying 7y + -1 = 2y(y + 3) + -2 Reorder the terms: -1 + 7y = 2y(y + 3) + -2 Reorder the terms: -1 + 7y = 2y(3 + y) + -2 -1 + 7y = (3 * 2y + y * 2y) + -2 -1 + 7y = (6y + 2y2) + -2 Reorder the terms: -1 + 7y = -2 + 6y + 2y2 Solving -1 + 7y = -2 + 6y + 2y2 Solving for variable 'y'. Reorder the terms: -1 + 2 + 7y + -6y + -2y2 = -2 + 6y + 2y2 + 2 + -6y + -2y2 Combine like terms: -1 + 2 = 1 1 + 7y + -6y + -2y2 = -2 + 6y + 2y2 + 2 + -6y + -2y2 Combine like terms: 7y + -6y = 1y 1 + 1y + -2y2 = -2 + 6y + 2y2 + 2 + -6y + -2y2 Reorder the terms: 1 + 1y + -2y2 = -2 + 2 + 6y + -6y + 2y2 + -2y2 Combine like terms: -2 + 2 = 0 1 + 1y + -2y2 = 0 + 6y + -6y + 2y2 + -2y2 1 + 1y + -2y2 = 6y + -6y + 2y2 + -2y2 Combine like terms: 6y + -6y = 0 1 + 1y + -2y2 = 0 + 2y2 + -2y2 1 + 1y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 1 + 1y + -2y2 = 0 Factor a trinomial. (1 + -1y)(1 + 2y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 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 = {1, -0.5}
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