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Simplifying 3y + 8(y + -4) = 34 Reorder the terms: 3y + 8(-4 + y) = 34 3y + (-4 * 8 + y * 8) = 34 3y + (-32 + 8y) = 34 Reorder the terms: -32 + 3y + 8y = 34 Combine like terms: 3y + 8y = 11y -32 + 11y = 34 Solving -32 + 11y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11y = 34 + 32 Combine like terms: -32 + 32 = 0 0 + 11y = 34 + 32 11y = 34 + 32 Combine like terms: 34 + 32 = 66 11y = 66 Divide each side by '11'. y = 6 Simplifying y = 6
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