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Simplifying 6 + -7ly + 6l = 12 + -9ly + 6l Reorder the terms: 6 + 6l + -7ly = 12 + -9ly + 6l Reorder the terms: 6 + 6l + -7ly = 12 + 6l + -9ly Add '-6l' to each side of the equation. 6 + 6l + -6l + -7ly = 12 + 6l + -6l + -9ly Combine like terms: 6l + -6l = 0 6 + 0 + -7ly = 12 + 6l + -6l + -9ly 6 + -7ly = 12 + 6l + -6l + -9ly Combine like terms: 6l + -6l = 0 6 + -7ly = 12 + 0 + -9ly 6 + -7ly = 12 + -9ly Solving 6 + -7ly = 12 + -9ly Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '9ly' to each side of the equation. 6 + -7ly + 9ly = 12 + -9ly + 9ly Combine like terms: -7ly + 9ly = 2ly 6 + 2ly = 12 + -9ly + 9ly Combine like terms: -9ly + 9ly = 0 6 + 2ly = 12 + 0 6 + 2ly = 12 Add '-6' to each side of the equation. 6 + -6 + 2ly = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2ly = 12 + -6 2ly = 12 + -6 Combine like terms: 12 + -6 = 6 2ly = 6 Divide each side by '2y'. l = 3y-1 Simplifying l = 3y-1
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