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Simplifying 2(b + -5) + 3(b + y) + -2by = b + -1y + -2 Reorder the terms: 2(-5 + b) + 3(b + y) + -2by = b + -1y + -2 (-5 * 2 + b * 2) + 3(b + y) + -2by = b + -1y + -2 (-10 + 2b) + 3(b + y) + -2by = b + -1y + -2 -10 + 2b + (b * 3 + y * 3) + -2by = b + -1y + -2 -10 + 2b + (3b + 3y) + -2by = b + -1y + -2 Reorder the terms: -10 + 2b + 3b + -2by + 3y = b + -1y + -2 Combine like terms: 2b + 3b = 5b -10 + 5b + -2by + 3y = b + -1y + -2 Reorder the terms: -10 + 5b + -2by + 3y = -2 + b + -1y Solving -10 + 5b + -2by + 3y = -2 + b + -1y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -10 + 5b + -2by + -1b + 3y = -2 + b + -1b + -1y Reorder the terms: -10 + 5b + -1b + -2by + 3y = -2 + b + -1b + -1y Combine like terms: 5b + -1b = 4b -10 + 4b + -2by + 3y = -2 + b + -1b + -1y Combine like terms: b + -1b = 0 -10 + 4b + -2by + 3y = -2 + 0 + -1y -10 + 4b + -2by + 3y = -2 + -1y Add '10' to each side of the equation. -10 + 4b + -2by + 10 + 3y = -2 + 10 + -1y Reorder the terms: -10 + 10 + 4b + -2by + 3y = -2 + 10 + -1y Combine like terms: -10 + 10 = 0 0 + 4b + -2by + 3y = -2 + 10 + -1y 4b + -2by + 3y = -2 + 10 + -1y Combine like terms: -2 + 10 = 8 4b + -2by + 3y = 8 + -1y Add '-3y' to each side of the equation. 4b + -2by + 3y + -3y = 8 + -1y + -3y Combine like terms: 3y + -3y = 0 4b + -2by + 0 = 8 + -1y + -3y 4b + -2by = 8 + -1y + -3y Combine like terms: -1y + -3y = -4y 4b + -2by = 8 + -4y Reorder the terms: -8 + 4b + -2by + 4y = 8 + -4y + -8 + 4y Reorder the terms: -8 + 4b + -2by + 4y = 8 + -8 + -4y + 4y Combine like terms: 8 + -8 = 0 -8 + 4b + -2by + 4y = 0 + -4y + 4y -8 + 4b + -2by + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -8 + 4b + -2by + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2b + -1by + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2b + -1by + 2y)' equal to zero and attempt to solve: Simplifying -4 + 2b + -1by + 2y = 0 Solving -4 + 2b + -1by + 2y = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2b + -1by + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + 2b + -1by + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2b + -1by + 2y = 0 + 4 2b + -1by + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 2b + -1by + 2y = 4 Add '-2y' to each side of the equation. 2b + -1by + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 2b + -1by + 0 = 4 + -2y 2b + -1by = 4 + -2y 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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