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Simplifying 3(y + -6) + 8(y + 2) = 75 Reorder the terms: 3(-6 + y) + 8(y + 2) = 75 (-6 * 3 + y * 3) + 8(y + 2) = 75 (-18 + 3y) + 8(y + 2) = 75 Reorder the terms: -18 + 3y + 8(2 + y) = 75 -18 + 3y + (2 * 8 + y * 8) = 75 -18 + 3y + (16 + 8y) = 75 Reorder the terms: -18 + 16 + 3y + 8y = 75 Combine like terms: -18 + 16 = -2 -2 + 3y + 8y = 75 Combine like terms: 3y + 8y = 11y -2 + 11y = 75 Solving -2 + 11y = 75 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11y = 75 + 2 Combine like terms: -2 + 2 = 0 0 + 11y = 75 + 2 11y = 75 + 2 Combine like terms: 75 + 2 = 77 11y = 77 Divide each side by '11'. y = 7 Simplifying y = 7
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