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Simplifying 5(y + -6) + 7(y + 4) = 34 Reorder the terms: 5(-6 + y) + 7(y + 4) = 34 (-6 * 5 + y * 5) + 7(y + 4) = 34 (-30 + 5y) + 7(y + 4) = 34 Reorder the terms: -30 + 5y + 7(4 + y) = 34 -30 + 5y + (4 * 7 + y * 7) = 34 -30 + 5y + (28 + 7y) = 34 Reorder the terms: -30 + 28 + 5y + 7y = 34 Combine like terms: -30 + 28 = -2 -2 + 5y + 7y = 34 Combine like terms: 5y + 7y = 12y -2 + 12y = 34 Solving -2 + 12y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12y = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 34 + 2 12y = 34 + 2 Combine like terms: 34 + 2 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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