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Simplifying 5(y + -6) + 7(y + 2) = 68 Reorder the terms: 5(-6 + y) + 7(y + 2) = 68 (-6 * 5 + y * 5) + 7(y + 2) = 68 (-30 + 5y) + 7(y + 2) = 68 Reorder the terms: -30 + 5y + 7(2 + y) = 68 -30 + 5y + (2 * 7 + y * 7) = 68 -30 + 5y + (14 + 7y) = 68 Reorder the terms: -30 + 14 + 5y + 7y = 68 Combine like terms: -30 + 14 = -16 -16 + 5y + 7y = 68 Combine like terms: 5y + 7y = 12y -16 + 12y = 68 Solving -16 + 12y = 68 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12y = 68 + 16 Combine like terms: -16 + 16 = 0 0 + 12y = 68 + 16 12y = 68 + 16 Combine like terms: 68 + 16 = 84 12y = 84 Divide each side by '12'. y = 7 Simplifying y = 7
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