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Simplifying 5(y + -6) + 2(y + 4) = 13 Reorder the terms: 5(-6 + y) + 2(y + 4) = 13 (-6 * 5 + y * 5) + 2(y + 4) = 13 (-30 + 5y) + 2(y + 4) = 13 Reorder the terms: -30 + 5y + 2(4 + y) = 13 -30 + 5y + (4 * 2 + y * 2) = 13 -30 + 5y + (8 + 2y) = 13 Reorder the terms: -30 + 8 + 5y + 2y = 13 Combine like terms: -30 + 8 = -22 -22 + 5y + 2y = 13 Combine like terms: 5y + 2y = 7y -22 + 7y = 13 Solving -22 + 7y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7y = 13 + 22 Combine like terms: -22 + 22 = 0 0 + 7y = 13 + 22 7y = 13 + 22 Combine like terms: 13 + 22 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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