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Simplifying 7(y + -5) + 5(y + 4) = 57 Reorder the terms: 7(-5 + y) + 5(y + 4) = 57 (-5 * 7 + y * 7) + 5(y + 4) = 57 (-35 + 7y) + 5(y + 4) = 57 Reorder the terms: -35 + 7y + 5(4 + y) = 57 -35 + 7y + (4 * 5 + y * 5) = 57 -35 + 7y + (20 + 5y) = 57 Reorder the terms: -35 + 20 + 7y + 5y = 57 Combine like terms: -35 + 20 = -15 -15 + 7y + 5y = 57 Combine like terms: 7y + 5y = 12y -15 + 12y = 57 Solving -15 + 12y = 57 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12y = 57 + 15 Combine like terms: -15 + 15 = 0 0 + 12y = 57 + 15 12y = 57 + 15 Combine like terms: 57 + 15 = 72 12y = 72 Divide each side by '12'. y = 6 Simplifying y = 6
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