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Simplifying 5(y + -5) + 7(y + 3) = 44 Reorder the terms: 5(-5 + y) + 7(y + 3) = 44 (-5 * 5 + y * 5) + 7(y + 3) = 44 (-25 + 5y) + 7(y + 3) = 44 Reorder the terms: -25 + 5y + 7(3 + y) = 44 -25 + 5y + (3 * 7 + y * 7) = 44 -25 + 5y + (21 + 7y) = 44 Reorder the terms: -25 + 21 + 5y + 7y = 44 Combine like terms: -25 + 21 = -4 -4 + 5y + 7y = 44 Combine like terms: 5y + 7y = 12y -4 + 12y = 44 Solving -4 + 12y = 44 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12y = 44 + 4 Combine like terms: -4 + 4 = 0 0 + 12y = 44 + 4 12y = 44 + 4 Combine like terms: 44 + 4 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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