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Simplifying 2y + 9(y + -4) = 52 Reorder the terms: 2y + 9(-4 + y) = 52 2y + (-4 * 9 + y * 9) = 52 2y + (-36 + 9y) = 52 Reorder the terms: -36 + 2y + 9y = 52 Combine like terms: 2y + 9y = 11y -36 + 11y = 52 Solving -36 + 11y = 52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11y = 52 + 36 Combine like terms: -36 + 36 = 0 0 + 11y = 52 + 36 11y = 52 + 36 Combine like terms: 52 + 36 = 88 11y = 88 Divide each side by '11'. y = 8 Simplifying y = 8
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