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Simplifying (7y + -3)(y + 1) = 7y + -3 Reorder the terms: (-3 + 7y)(y + 1) = 7y + -3 Reorder the terms: (-3 + 7y)(1 + y) = 7y + -3 Multiply (-3 + 7y) * (1 + y) (-3(1 + y) + 7y * (1 + y)) = 7y + -3 ((1 * -3 + y * -3) + 7y * (1 + y)) = 7y + -3 ((-3 + -3y) + 7y * (1 + y)) = 7y + -3 (-3 + -3y + (1 * 7y + y * 7y)) = 7y + -3 (-3 + -3y + (7y + 7y2)) = 7y + -3 Combine like terms: -3y + 7y = 4y (-3 + 4y + 7y2) = 7y + -3 Reorder the terms: -3 + 4y + 7y2 = -3 + 7y Add '3' to each side of the equation. -3 + 4y + 3 + 7y2 = -3 + 3 + 7y Reorder the terms: -3 + 3 + 4y + 7y2 = -3 + 3 + 7y Combine like terms: -3 + 3 = 0 0 + 4y + 7y2 = -3 + 3 + 7y 4y + 7y2 = -3 + 3 + 7y Combine like terms: -3 + 3 = 0 4y + 7y2 = 0 + 7y 4y + 7y2 = 7y Solving 4y + 7y2 = 7y Solving for variable 'y'. Reorder the terms: 4y + -7y + 7y2 = 7y + -7y Combine like terms: 4y + -7y = -3y -3y + 7y2 = 7y + -7y Combine like terms: 7y + -7y = 0 -3y + 7y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-3 + 7y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-3 + 7y)' equal to zero and attempt to solve: Simplifying -3 + 7y = 0 Solving -3 + 7y = 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 + 7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7y = 0 + 3 7y = 0 + 3 Combine like terms: 0 + 3 = 3 7y = 3 Divide each side by '7'. y = 0.4285714286 Simplifying y = 0.4285714286Solution
y = {0, 0.4285714286}
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