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Simplifying 9(y + -6) + 2(y + 1) = 25 Reorder the terms: 9(-6 + y) + 2(y + 1) = 25 (-6 * 9 + y * 9) + 2(y + 1) = 25 (-54 + 9y) + 2(y + 1) = 25 Reorder the terms: -54 + 9y + 2(1 + y) = 25 -54 + 9y + (1 * 2 + y * 2) = 25 -54 + 9y + (2 + 2y) = 25 Reorder the terms: -54 + 2 + 9y + 2y = 25 Combine like terms: -54 + 2 = -52 -52 + 9y + 2y = 25 Combine like terms: 9y + 2y = 11y -52 + 11y = 25 Solving -52 + 11y = 25 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 11y = 25 + 52 Combine like terms: -52 + 52 = 0 0 + 11y = 25 + 52 11y = 25 + 52 Combine like terms: 25 + 52 = 77 11y = 77 Divide each side by '11'. y = 7 Simplifying y = 7
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