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Simplifying 7(y + -5) + 3(y + 4) = 37 Reorder the terms: 7(-5 + y) + 3(y + 4) = 37 (-5 * 7 + y * 7) + 3(y + 4) = 37 (-35 + 7y) + 3(y + 4) = 37 Reorder the terms: -35 + 7y + 3(4 + y) = 37 -35 + 7y + (4 * 3 + y * 3) = 37 -35 + 7y + (12 + 3y) = 37 Reorder the terms: -35 + 12 + 7y + 3y = 37 Combine like terms: -35 + 12 = -23 -23 + 7y + 3y = 37 Combine like terms: 7y + 3y = 10y -23 + 10y = 37 Solving -23 + 10y = 37 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 10y = 37 + 23 Combine like terms: -23 + 23 = 0 0 + 10y = 37 + 23 10y = 37 + 23 Combine like terms: 37 + 23 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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