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Simplifying 4y + -3 = 6y2 + -3 Reorder the terms: -3 + 4y = 6y2 + -3 Reorder the terms: -3 + 4y = -3 + 6y2 Add '3' to each side of the equation. -3 + 3 + 4y = -3 + 3 + 6y2 Combine like terms: -3 + 3 = 0 0 + 4y = -3 + 3 + 6y2 4y = -3 + 3 + 6y2 Combine like terms: -3 + 3 = 0 4y = 0 + 6y2 4y = 6y2 Solving 4y = 6y2 Solving for variable 'y'. Combine like terms: 6y2 + -6y2 = 0 4y + -6y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(2 + -3y) = 0 Ignore the factor 2.Subproblem 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 '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {0, 0.6666666667}
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