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Simplifying 6(y + -5) + 7(y + 3) = 95 Reorder the terms: 6(-5 + y) + 7(y + 3) = 95 (-5 * 6 + y * 6) + 7(y + 3) = 95 (-30 + 6y) + 7(y + 3) = 95 Reorder the terms: -30 + 6y + 7(3 + y) = 95 -30 + 6y + (3 * 7 + y * 7) = 95 -30 + 6y + (21 + 7y) = 95 Reorder the terms: -30 + 21 + 6y + 7y = 95 Combine like terms: -30 + 21 = -9 -9 + 6y + 7y = 95 Combine like terms: 6y + 7y = 13y -9 + 13y = 95 Solving -9 + 13y = 95 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 = 95 + 9 Combine like terms: -9 + 9 = 0 0 + 13y = 95 + 9 13y = 95 + 9 Combine like terms: 95 + 9 = 104 13y = 104 Divide each side by '13'. y = 8 Simplifying y = 8
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