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Simplifying 4y2 + 2 = 4(y + y) + 2 Reorder the terms: 2 + 4y2 = 4(y + y) + 2 Combine like terms: y + y = 2y 2 + 4y2 = 4(2y) + 2 Remove parenthesis around (2y) 2 + 4y2 = 4 * 2y + 2 Multiply 4 * 2 2 + 4y2 = 8y + 2 Reorder the terms: 2 + 4y2 = 2 + 8y Add '-2' to each side of the equation. 2 + -2 + 4y2 = 2 + -2 + 8y Combine like terms: 2 + -2 = 0 0 + 4y2 = 2 + -2 + 8y 4y2 = 2 + -2 + 8y Combine like terms: 2 + -2 = 0 4y2 = 0 + 8y 4y2 = 8y Solving 4y2 = 8y Solving for variable 'y'. Reorder the terms: -8y + 4y2 = 8y + -8y Combine like terms: 8y + -8y = 0 -8y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-2 + y) = 0 Ignore the factor 4.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 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {0, 2}
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