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Simplifying 9y + 3(y + 6) = 15y + 21fory Reorder the terms: 9y + 3(6 + y) = 15y + 21fory 9y + (6 * 3 + y * 3) = 15y + 21fory 9y + (18 + 3y) = 15y + 21fory Reorder the terms: 18 + 9y + 3y = 15y + 21fory Combine like terms: 9y + 3y = 12y 18 + 12y = 15y + 21fory Reorder the terms: 18 + 12y = 21fory + 15y Solving 18 + 12y = 21fory + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21fory' to each side of the equation. 18 + -21fory + 12y = 21fory + -21fory + 15y Combine like terms: 21fory + -21fory = 0 18 + -21fory + 12y = 0 + 15y 18 + -21fory + 12y = 15y Add '-15y' to each side of the equation. 18 + -21fory + 12y + -15y = 15y + -15y Combine like terms: 12y + -15y = -3y 18 + -21fory + -3y = 15y + -15y Combine like terms: 15y + -15y = 0 18 + -21fory + -3y = 0 Add '-18' to each side of the equation. 18 + -21fory + -18 + -3y = 0 + -18 Reorder the terms: 18 + -18 + -21fory + -3y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -21fory + -3y = 0 + -18 -21fory + -3y = 0 + -18 Combine like terms: 0 + -18 = -18 -21fory + -3y = -18 Reorder the terms: 18 + -21fory + -3y = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -21fory + -3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -7fory + -1y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -7fory + -1y)' equal to zero and attempt to solve: Simplifying 6 + -7fory + -1y = 0 Solving 6 + -7fory + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7fory + -6 + -1y = 0 + -6 Reorder the terms: 6 + -6 + -7fory + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7fory + -1y = 0 + -6 -7fory + -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -7fory + -1y = -6 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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