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Simplifying 6(y + -5) + 7(y + 3) = 56 Reorder the terms: 6(-5 + y) + 7(y + 3) = 56 (-5 * 6 + y * 6) + 7(y + 3) = 56 (-30 + 6y) + 7(y + 3) = 56 Reorder the terms: -30 + 6y + 7(3 + y) = 56 -30 + 6y + (3 * 7 + y * 7) = 56 -30 + 6y + (21 + 7y) = 56 Reorder the terms: -30 + 21 + 6y + 7y = 56 Combine like terms: -30 + 21 = -9 -9 + 6y + 7y = 56 Combine like terms: 6y + 7y = 13y -9 + 13y = 56 Solving -9 + 13y = 56 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13y = 56 + 9 Combine like terms: -9 + 9 = 0 0 + 13y = 56 + 9 13y = 56 + 9 Combine like terms: 56 + 9 = 65 13y = 65 Divide each side by '13'. y = 5 Simplifying y = 5
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