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Simplifying 3(y + 4) = -1y + 8fory Reorder the terms: 3(4 + y) = -1y + 8fory (4 * 3 + y * 3) = -1y + 8fory (12 + 3y) = -1y + 8fory Reorder the terms: 12 + 3y = 8fory + -1y Solving 12 + 3y = 8fory + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8fory' to each side of the equation. 12 + -8fory + 3y = 8fory + -8fory + -1y Combine like terms: 8fory + -8fory = 0 12 + -8fory + 3y = 0 + -1y 12 + -8fory + 3y = -1y Add 'y' to each side of the equation. 12 + -8fory + 3y + y = -1y + y Combine like terms: 3y + y = 4y 12 + -8fory + 4y = -1y + y Combine like terms: -1y + y = 0 12 + -8fory + 4y = 0 Add '-12' to each side of the equation. 12 + -8fory + -12 + 4y = 0 + -12 Reorder the terms: 12 + -12 + -8fory + 4y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8fory + 4y = 0 + -12 -8fory + 4y = 0 + -12 Combine like terms: 0 + -12 = -12 -8fory + 4y = -12 Reorder the terms: 12 + -8fory + 4y = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -8fory + 4y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -2fory + y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -2fory + y)' equal to zero and attempt to solve: Simplifying 3 + -2fory + y = 0 Solving 3 + -2fory + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2fory + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + -2fory + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2fory + y = 0 + -3 -2fory + y = 0 + -3 Combine like terms: 0 + -3 = -3 -2fory + y = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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