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Simplifying 5(y + -6) + 7(y + 1) = 25 Reorder the terms: 5(-6 + y) + 7(y + 1) = 25 (-6 * 5 + y * 5) + 7(y + 1) = 25 (-30 + 5y) + 7(y + 1) = 25 Reorder the terms: -30 + 5y + 7(1 + y) = 25 -30 + 5y + (1 * 7 + y * 7) = 25 -30 + 5y + (7 + 7y) = 25 Reorder the terms: -30 + 7 + 5y + 7y = 25 Combine like terms: -30 + 7 = -23 -23 + 5y + 7y = 25 Combine like terms: 5y + 7y = 12y -23 + 12y = 25 Solving -23 + 12y = 25 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 + 12y = 25 + 23 Combine like terms: -23 + 23 = 0 0 + 12y = 25 + 23 12y = 25 + 23 Combine like terms: 25 + 23 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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